Question 1

What is the frequency of a class in a grouped frequency distribution?
A) The average value of the data in the class
B) The total number of classes in the distribution
C) The number of data values contained in the class
D) The cumulative total of all classes
E) The range of values in the class

Accepted Answer

C) The number of data values contained in the class
Explanation: The frequency of a class refers specifically to the count of data values that fall within that class range, which is crucial for understanding the distribution of the data set.

Question 2

What does cumulative frequency represent in a grouped frequency distribution?
A) The total number of classes in the distribution
B) The average frequency of all classes
C) The number of data values less than or equal to the upper class limit
D) The maximum value in the data set
E) The sum of the frequencies of all classes

Accepted Answer

C) The number of data values less than or equal to the upper class limit
Explanation: Cumulative frequency indicates how many data values fall below or reach the upper limit of a class, providing insight into the distribution's accumulation.

Question 3

What type of relationship is observed in the scatter plot of the gender inequality index versus the democracy index?
A) Positive linear relationship
B) Negative linear relationship
C) No relationship
D) Exponential relationship
E) Quadratic relationship

Accepted Answer

B) Negative linear relationship
Explanation: The scatter plot shows a roughly negative linear relationship between the gender inequality index and the democracy index, indicating that as one index increases, the other tends to decrease.

Question 4

What do the axes of the scatter plot represent?
A) Temperature and humidity
B) Gender inequality index and democracy index
C) Time and distance
D) Income and expenditure
E) Population and area

Accepted Answer

B) Gender inequality index and democracy index
Explanation: The scatter plot specifically illustrates the relationship between the gender inequality index and the democracy index, indicating statistical correlations between these two variables.

Question 5

What are class boundaries used for in a grouped frequency distribution?
A) To create gaps in the frequency distribution
B) To separate the classes without gaps
C) To identify the mean of the data
D) To calculate class width
E) To determine the total frequency

Accepted Answer

B) To separate the classes without gaps
Explanation: Class boundaries are utilized to ensure that there are no gaps in the frequency distribution, providing a seamless transition between classes by averaging the upper limit of one class with the lower limit of the next.

Question 6

What does the scatter plot represent in the given data?
A) Driver salaries versus miles travelled
B) Miles travelled per driver versus obesity rate
C) Fuel efficiency versus obesity rate
D) Yearly income versus miles travelled
E) Age versus obesity rate

Accepted Answer

B) Miles travelled per driver versus obesity rate
Explanation: The scatter plot specifically depicts the relationship between miles travelled per driver and the obesity rate, emphasizing the connection between these two variables.

Question 7

What does a categorical frequency distribution represent?
A) Numerical data only
B) Data grouped by categories
C) Continuous data
D) Data with no organization
E) Only qualitative data

Accepted Answer

B) Data grouped by categories
Explanation: A categorical frequency distribution organizes data into distinct categories, allowing for the analysis of frequency within those categories.

Question 8

When are ungrouped frequency distributions commonly used?
A) When data is qualitative
B) When the range of data is large
C) For numerical data with a small range
D) For categorical data only
E) When data is continuous

Accepted Answer

C) For numerical data with a small range
Explanation: Ungrouped frequency distributions are often employed when the numerical data has a small range, allowing for clear representation of each individual data value.

Question 9

How is class width determined in a frequency distribution?
A) By adding the lower class limits
B) By averaging all class midpoints
C) By subtracting the lower limit of one class from the lower limit of the next class
D) By using the mean of the frequencies
E) By finding the median of the class limits

Accepted Answer

C) By subtracting the lower limit of one class from the lower limit of the next class
Explanation: Class width is calculated by subtracting the lower (or upper) class limit of one class from the lower (or upper) class limit of the next class, allowing for the measurement of the range of each class.

Question 10

What type of relationship is indicated by the scatter plot?
A) Negative linear relationship
B) No relationship
C) Positive linear relationship
D) Curvilinear relationship
E) Exponential relationship

Accepted Answer

C) Positive linear relationship
Explanation: The scatter plot shows a clear positive linear relationship between the two variables, indicating that as miles travelled per driver increase, so does the obesity rate.

Question 11

In the provided categorical frequency distribution, what is the total frequency?
A) 100
B) 45
C) 40
D) 30
E) 12

Accepted Answer

A) 100
Explanation: The total frequency in the categorical frequency distribution is 100, which is the sum of all individual frequencies listed.

Question 12

What does a time series graph represent?
A) Data from multiple categories at one time
B) Data that occur over a specific period of time
C) Data that do not change over time
D) Data that only represent a single event
E) Data without any specific time frame

Accepted Answer

B) Data that occur over a specific period of time
Explanation: A time series graph is specifically designed to represent data that occurs over a specific period, allowing for the observation of trends and changes over time.

Question 13

What does each class in an ungrouped frequency distribution correspond to?
A) Multiple data values
B) A range of values
C) Exactly one data value
D) No data value
E) An average of data values

Accepted Answer

C) Exactly one data value
Explanation: In an ungrouped frequency distribution, each class is defined to correspond to exactly one data value, making it a precise method for organizing small range numerical data.

Question 14

What is the maximum number of decimal places in the provided data set?
A) 1
B) 3
C) 2
D) 0
E) 4

Accepted Answer

C) 2
Explanation: The maximum number of decimal places found in the data set is 2, as seen in the values 1.53, 2.14, and others that have up to two decimal points.

Question 15

What is the class midpoint in a grouped frequency distribution?
A) The average of all frequencies
B) The difference between upper and lower class limits
C) The sum of lower and upper boundaries divided by 2
D) The maximum value in a class
E) The minimum value in a class

Accepted Answer

C) The sum of lower and upper boundaries divided by 2
Explanation: The class midpoint is found by dividing the sum of the lower and upper boundaries (or limits) by 2, providing a representative value for each class in the distribution.

Question 16

Is the scatter plot a time series plot?
A) Yes, it represents time data
B) No, it is not a time series plot
C) It depends on the year
D) Yes, but only for certain years
E) No, because it has no years

Accepted Answer

B) No, it is not a time series plot
Explanation: Although each point corresponds to a year, the scatter plot is specifically noted as not being a time series plot, indicating that it does not display data over time.

Question 17

What does the frequency of 'Fr' represent in the distribution?
A) 12
B) 40
C) 18
D) 45
E) 30

Accepted Answer

C) 18
Explanation: The frequency for 'Fr' in the categorical frequency distribution is 18, indicating the number of occurrences in that category.

Question 18

What is a 'class' in the context of organizing data?
A) A group of unrelated data points
B) A category in which raw data values are placed
C) A numerical value representing data
D) A specific data point
E) A method for analyzing data

Accepted Answer

B) A category in which raw data values are placed
Explanation: In organizing data, a 'class' refers to a category that groups raw data values together, facilitating better data analysis and presentation.

Question 19

What type of graph is used to represent the distribution of minorities in Hong Kong?
A) Line graph
B) Bar graph
C) Pie graph
D) Histogram
E) Scatter plot

Accepted Answer

C) Pie graph
Explanation: A pie graph is specifically used to represent the distribution of minorities in Hong Kong, visually displaying the proportions of different minority groups as slices of a circle.

Question 20

What type of data was plotted in the time series graph mentioned?
A) The temperature of a city over a year
B) The support rate of 6 candidates in an election
C) The sales figures of a product
D) The population growth of a country
E) The stock prices of a company

Accepted Answer

B) The support rate of 6 candidates in an election
Explanation: The time series graph specifically plots the support rate of 6 candidates during an election, highlighting how their support fluctuates over time.

Question 21

How is the class width calculated for a frequency distribution?
A) (Maximum value - Minimum value) / Number of classes
B) (Minimum value - Maximum value) / Number of classes
C) (Maximum value + Minimum value) / Number of classes
D) Maximum value / Number of classes
E) Minimum value / Number of classes

Accepted Answer

A) (Maximum value - Minimum value) / Number of classes
Explanation: The class width is calculated by subtracting the minimum value (1.0) from the maximum value (3.0) and then dividing the result by the number of classes (6).

Question 22

Which of the following statements is true about ungrouped frequency distributions?
A) They are used exclusively for large datasets
B) They do not require numerical data
C) They can handle both grouped and ungrouped data
D) They are best for small ranges of numerical data
E) They use classes representing intervals of data

Accepted Answer

D) They are best for small ranges of numerical data
Explanation: Ungrouped frequency distributions are particularly effective for organizing numerical data when the range is small, allowing for a clear display of individual values.

Question 23

Where can further details about the scatter plot be found?
A) In a textbook
B) On The Economist website
C) In a scientific journal
D) On a government statistics page
E) In a research paper

Accepted Answer

B) On The Economist website
Explanation: The description mentions that further details about the plot can be found on The Economist website, suggesting that it is a credible source for additional information.

Question 24

What is the lower class boundary for the class with the highest frequency of cigarettes smoked?
A) 3.5
B) 1.5
C) 4.5
D) 10.5
E) 19.5

Accepted Answer

C) 4.5
Explanation: The class with the highest frequency in the histogram corresponds to the range where most patients fall, which would start at the lower class boundary of 4.5.

Question 25

What percentage does the 'So' category represent in the distribution?
A) 30%
B) 12%
C) 15%
D) 25%
E) 40%

Accepted Answer

C) 15%
Explanation: The 'So' category has a frequency of 12, which represents 15% of the total frequency of 100 in the categorical frequency distribution.

Question 26

What does the lower class limit represent?
A) The highest value in a data set
B) The smallest data value that can be included in the class
C) The average value of the data
D) The median of the data
E) The total number of data points

Accepted Answer

B) The smallest data value that can be included in the class
Explanation: The lower class limit is the smallest data value that can be placed within a specific class, ensuring consistent categorization of data.

Question 27

Which department conducted the survey on the distribution of minorities in Hong Kong?
A) Department of Health
B) Census and Statistics Department
C) Education Department
D) Environmental Protection Department
E) Department of Labor

Accepted Answer

B) Census and Statistics Department
Explanation: The survey regarding the distribution of minorities in Hong Kong was conducted by the Census and Statistics Department, which is responsible for gathering and analyzing demographic data.

Question 28

What is the primary purpose of a time series graph?
A) To compare different categories
B) To represent data without a time factor
C) To track changes in data over time
D) To display a single value
E) To represent static data

Accepted Answer

C) To track changes in data over time
Explanation: The primary purpose of a time series graph is to track and visualize changes in data values over a specific time period, making it easier to identify trends.

Question 29

What type of information can be found on the Census and Statistics Department's page? 
A) Historical events 
B) Survey Reports 
C) Literature reviews 
D) Personal stories 
E) Movie reviews

Accepted Answer

B) Survey Reports 
Explanation: The Census and Statistics Department provides access to Survey Reports, which are essential for analyzing demographic and statistical data.

Question 30

Given the data set, what is the calculated class width?
A) 0.5
B) 0.25
C) 0.4
D) 0.333
E) 1.0

Accepted Answer

D) 0.333
Explanation: The class width is computed as (3.0 - 1.0) / 6, which equals 0.333, determining how the data will be organized into classes for the frequency distribution.

Question 31

What is the upper class boundary for the class with the highest frequency of cigarettes smoked?
A) 5.5
B) 10.5
C) 13.5
D) 7.5
E) 22.5

Accepted Answer

A) 5.5
Explanation: The upper class boundary for the class containing the highest frequency of cigarettes smoked is determined to be 5.5, marking the end of that frequency range.

Question 32

How many categories are represented in the provided categorical frequency distribution?
A) 5
B) 4
C) 6
D) 3
E) 2

Accepted Answer

A) 5
Explanation: The categorical frequency distribution lists five distinct categories: Fr, So, Jr, Se, which collectively provide a comprehensive view of the data.

Question 33

What does it indicate if data points fall roughly on a straight line with a positive slope in a scatter plot?
A) There is a negative correlation
B) There is no correlation
C) There is a positive correlation
D) The data is normally distributed
E) There is a perfect correlation

Accepted Answer

C) There is a positive correlation
Explanation: Data points that fall on a straight line with a positive slope indicate a positive correlation, meaning that as one variable increases, the other variable also tends to increase.

Question 34

What is the class width calculated from the given data set with a range of 30 to 10 and 5 classes? 
A) 2.00 
B) 4.00 
C) 5.00 
D) 6.00 
E) 3.00

Accepted Answer

B) 4.00 
Explanation: The class width is calculated using the formula (maximum value - minimum value) / number of classes. Here, it is (30 - 10) / 5 = 4.00.

Question 35

What does the upper class limit signify?
A) The total of all data values
B) The smallest data value in a set
C) The largest data value that can be included in the class
D) The middle value of a data set
E) The range of the data

Accepted Answer

C) The largest data value that can be included in the class
Explanation: The upper class limit indicates the maximum data value that falls within a particular class, defining the boundaries for that group.

Question 36

Which type of graph is used to summarize a single categorical variable?
A) Histogram
B) Scatter plot
C) Time series graph
D) Bar graph
E) Box plot

Accepted Answer

D) Bar graph
Explanation: A bar graph is specifically designed to summarize a single categorical variable, allowing for easy comparison between different categories.

Question 37

What is the primary purpose of the pie graph in the context of the distribution of minorities?
A) To show changes over time
B) To display relationships between variables
C) To represent parts of a whole
D) To compare different groups
E) To illustrate trends

Accepted Answer

C) To represent parts of a whole
Explanation: The primary purpose of a pie graph is to represent parts of a whole, making it suitable for showing the distribution of different minority groups in Hong Kong as sections of a circle.

Question 38

Which census is linked to the year 2006? 
A) 2021 Census 
B) 2011 Census 
C) 2006 By-Census 
D) 1996 Census 
E) 2016 By-Census

Accepted Answer

C) 2006 By-Census 
Explanation: The link specifically mentions the 2006 By-Census as a resource for statistical information.

Question 39

How many patients in the sample smoked less than 10.5 cigarettes per day?
A) 5
B) 10
C) 15
D) 20
E) 25

Accepted Answer

B) 10
Explanation: According to the given ogive, the cumulative frequency for patients smoking less than 10.5 cigarettes per day is 10, indicating that 10 patients fall into this category.

Question 40

What is the midpoint for the class with the highest frequency of cigarette smoking?
A) 4.0
B) 5.0
C) 9.0
D) 11.0
E) 14.0

Accepted Answer

B) 5.0
Explanation: The midpoint for the class where the highest frequency occurs is calculated as the average of the lower and upper class boundaries, resulting in a midpoint of 5.0.

Question 41

What does a straight line with a negative slope in a scatter plot suggest?
A) The variables are independent
B) There is a positive correlation
C) There is a negative correlation
D) The data is uniform
E) The line is horizontal

Accepted Answer

C) There is a negative correlation
Explanation: Data points that fall on a straight line with a negative slope indicate a negative correlation, meaning that as one variable increases, the other variable tends to decrease.

Question 42

Why should the class width be rounded to the next integer in this case? 
A) Because all values are decimals 
B) Because of the number of classes 
C) Because maximum number of decimal places observed is 0 
D) Because the data is not normally distributed 
E) Because of the data type

Accepted Answer

C) Because maximum number of decimal places observed is 0 
Explanation: The class width should be rounded to the next integer since the maximum number of decimal places in the data values is 0, ensuring that the class width remains an integer.

Question 43

Which of the following is NOT a type of graph mentioned in the summary?
A) Pie graph
B) Bar graph
C) Scatter plot
D) Line graph
E) Pareto chart

Accepted Answer

D) Line graph
Explanation: The summary lists pie graphs, bar graphs, Pareto charts, time series graphs, and scatter plots, but does not mention line graphs, making it the correct answer.

Question 44

What type of graph is best for showing the change of a quantitative variable over time?
A) Bar graph
B) Pie chart
C) Time series graph
D) Pareto chart
E) Scatter plot

Accepted Answer

C) Time series graph
Explanation: A time series graph is specifically used to display changes in a quantitative variable over time, illustrating trends and patterns effectively.

Question 45

What is the frequency of patients who smoked between 5 and 7 cigarettes per day?
A) 2
B) 5
C) 3
D) 6
E) 11

Accepted Answer

A) 2
Explanation: The frequency for the class boundaries 4.5 – 7.5, which corresponds to the number of cigarettes smoked per day between 5 and 7, is listed as 2, indicating that two patients fall within this range.

Question 46

What organization is associated with the Public Opinion Programme? 
A) Harvard University 
B) Stanford University 
C) Hong Kong University 
D) Oxford University 
E) Cambridge University

Accepted Answer

C) Hong Kong University 
Explanation: The Public Opinion Programme is linked to Hong Kong University (HKUPOP), which focuses on public opinion research.

Question 47

How many patients in the sample smoked more than 16.5 cigarettes per day?
A) 5
B) 3
C) 7
D) 10
E) 0

Accepted Answer

A) 5
Explanation: The ogive shows that the cumulative frequency for patients smoking less than or equal to 16.5 cigarettes is 15; therefore, the number of patients smoking more than 16.5 cigarettes per day is 20 - 15 = 5.

Question 48

What is the primary purpose of organizing data in statistics?
A) To make data look more appealing
B) To simplify, summarize, and present data clearly
C) To confuse readers with complex information
D) To store data in physical formats
E) To eliminate unnecessary data

Accepted Answer

B) To simplify, summarize, and present data clearly
Explanation: Organizing data is essential in statistics as it helps to simplify and summarize vast amounts of information, allowing for clearer presentation and analysis.

Question 49

How many patients in the sample smoked more than 13.5 cigarettes per day?
A) 5
B) 2
C) 8
D) 10
E) 7

Accepted Answer

B) 2
Explanation: Based on the histogram data, it is determined that 2 patients in the sample smoked more than 13.5 cigarettes per day.

Question 50

What is a histogram used for?
A) To represent cumulative frequencies
B) To display data using vertical bars representing frequencies
C) To calculate means and medians
D) To show relationships between two variables
E) To compare two separate data sets

Accepted Answer

B) To display data using vertical bars representing frequencies
Explanation: A histogram is specifically designed to show data frequency using vertical bars of varying heights, providing a visual representation of the distribution of data.

Chapter 2 - Frequency Distributions and Graphs (for student)

Created by LAI HO TIN

Explanation

What is the frequency of a class in a grouped frequency distribution?A) The average value of the data in the classB) The total number of classes in the distributionC) The number of data values contained in the classD) The cumulative total of all classesE) The range of values in the class

What type of relationship is observed in the scatter plot of the gender inequality index versus the democracy index?A) Positive linear relationshipB) Negative linear relationshipC) No relationshipD) Exponential relationshipE) Quadratic relationship

What do the axes of the scatter plot represent?A) Temperature and humidityB) Gender inequality index and democracy indexC) Time and distanceD) Income and expenditureE) Population and area

What are class boundaries used for in a grouped frequency distribution?A) To create gaps in the frequency distributionB) To separate the classes without gapsC) To identify the mean of the dataD) To calculate class widthE) To determine the total frequency

What does the scatter plot represent in the given data?A) Driver salaries versus miles travelledB) Miles travelled per driver versus obesity rateC) Fuel efficiency versus obesity rateD) Yearly income versus miles travelledE) Age versus obesity rate

What does a categorical frequency distribution represent?A) Numerical data onlyB) Data grouped by categoriesC) Continuous dataD) Data with no organizationE) Only qualitative data

When are ungrouped frequency distributions commonly used?A) When data is qualitativeB) When the range of data is largeC) For numerical data with a small rangeD) For categorical data onlyE) When data is continuous

How is class width determined in a frequency distribution?A) By adding the lower class limitsB) By averaging all class midpointsC) By subtracting the lower limit of one class from the lower limit of the next classD) By using the mean of the frequenciesE) By finding the median of the class limits

What type of relationship is indicated by the scatter plot?A) Negative linear relationshipB) No relationshipC) Positive linear relationshipD) Curvilinear relationshipE) Exponential relationship

In the provided categorical frequency distribution, what is the total frequency?A) 100B) 45C) 40D) 30E) 12

What does a time series graph represent?A) Data from multiple categories at one timeB) Data that occur over a specific period of timeC) Data that do not change over timeD) Data that only represent a single eventE) Data without any specific time frame

What does each class in an ungrouped frequency distribution correspond to?A) Multiple data valuesB) A range of valuesC) Exactly one data valueD) No data valueE) An average of data values

What is the maximum number of decimal places in the provided data set?A) 1B) 3C) 2D) 0E) 4

What is the class midpoint in a grouped frequency distribution?A) The average of all frequenciesB) The difference between upper and lower class limitsC) The sum of lower and upper boundaries divided by 2D) The maximum value in a classE) The minimum value in a class

Is the scatter plot a time series plot?A) Yes, it represents time dataB) No, it is not a time series plotC) It depends on the yearD) Yes, but only for certain yearsE) No, because it has no years

What does the frequency of 'Fr' represent in the distribution?A) 12B) 40C) 18D) 45E) 30

What is a 'class' in the context of organizing data?A) A group of unrelated data pointsB) A category in which raw data values are placedC) A numerical value representing dataD) A specific data pointE) A method for analyzing data

What type of graph is used to represent the distribution of minorities in Hong Kong?A) Line graphB) Bar graphC) Pie graphD) HistogramE) Scatter plot

What type of data was plotted in the time series graph mentioned?A) The temperature of a city over a yearB) The support rate of 6 candidates in an electionC) The sales figures of a productD) The population growth of a countryE) The stock prices of a company

How is the class width calculated for a frequency distribution?A) (Maximum value - Minimum value) / Number of classesB) (Minimum value - Maximum value) / Number of classesC) (Maximum value + Minimum value) / Number of classesD) Maximum value / Number of classesE) Minimum value / Number of classes

Where can further details about the scatter plot be found?A) In a textbookB) On The Economist websiteC) In a scientific journalD) On a government statistics pageE) In a research paper

What is the lower class boundary for the class with the highest frequency of cigarettes smoked?A) 3.5B) 1.5C) 4.5D) 10.5E) 19.5

What percentage does the 'So' category represent in the distribution?A) 30%B) 12%C) 15%D) 25%E) 40%

What does the lower class limit represent?A) The highest value in a data setB) The smallest data value that can be included in the classC) The average value of the dataD) The median of the dataE) The total number of data points

Which department conducted the survey on the distribution of minorities in Hong Kong?A) Department of HealthB) Census and Statistics DepartmentC) Education DepartmentD) Environmental Protection DepartmentE) Department of Labor

What is the primary purpose of a time series graph?A) To compare different categoriesB) To represent data without a time factorC) To track changes in data over timeD) To display a single valueE) To represent static data

What type of information can be found on the Census and Statistics Department's page? A) Historical events B) Survey Reports C) Literature reviews D) Personal stories E) Movie reviews

Given the data set, what is the calculated class width?A) 0.5B) 0.25C) 0.4D) 0.333E) 1.0

What is the upper class boundary for the class with the highest frequency of cigarettes smoked?A) 5.5B) 10.5C) 13.5D) 7.5E) 22.5

How many categories are represented in the provided categorical frequency distribution?A) 5B) 4C) 6D) 3E) 2

What does it indicate if data points fall roughly on a straight line with a positive slope in a scatter plot?A) There is a negative correlationB) There is no correlationC) There is a positive correlationD) The data is normally distributedE) There is a perfect correlation

What is the class width calculated from the given data set with a range of 30 to 10 and 5 classes? A) 2.00 B) 4.00 C) 5.00 D) 6.00 E) 3.00

What does the upper class limit signify?A) The total of all data valuesB) The smallest data value in a setC) The largest data value that can be included in the classD) The middle value of a data setE) The range of the data

Which type of graph is used to summarize a single categorical variable?A) HistogramB) Scatter plotC) Time series graphD) Bar graphE) Box plot

What is the primary purpose of the pie graph in the context of the distribution of minorities?A) To show changes over timeB) To display relationships between variablesC) To represent parts of a wholeD) To compare different groupsE) To illustrate trends

Which census is linked to the year 2006? A) 2021 Census B) 2011 Census C) 2006 By-Census D) 1996 Census E) 2016 By-Census

How many patients in the sample smoked less than 10.5 cigarettes per day?A) 5B) 10C) 15D) 20E) 25

What is the midpoint for the class with the highest frequency of cigarette smoking?A) 4.0B) 5.0C) 9.0D) 11.0E) 14.0

What does a straight line with a negative slope in a scatter plot suggest?A) The variables are independentB) There is a positive correlationC) There is a negative correlationD) The data is uniformE) The line is horizontal

Why should the class width be rounded to the next integer in this case? A) Because all values are decimals B) Because of the number of classes C) Because maximum number of decimal places observed is 0 D) Because the data is not normally distributed E) Because of the data type

Which of the following is NOT a type of graph mentioned in the summary?A) Pie graphB) Bar graphC) Scatter plotD) Line graphE) Pareto chart

What type of graph is best for showing the change of a quantitative variable over time?A) Bar graphB) Pie chartC) Time series graphD) Pareto chartE) Scatter plot

What is the frequency of patients who smoked between 5 and 7 cigarettes per day?A) 2B) 5C) 3D) 6E) 11

What organization is associated with the Public Opinion Programme? A) Harvard University B) Stanford University C) Hong Kong University D) Oxford University E) Cambridge University

How many patients in the sample smoked more than 16.5 cigarettes per day?A) 5B) 3C) 7D) 10E) 0

What is the primary purpose of organizing data in statistics?A) To make data look more appealingB) To simplify, summarize, and present data clearlyC) To confuse readers with complex informationD) To store data in physical formatsE) To eliminate unnecessary data

How many patients in the sample smoked more than 13.5 cigarettes per day?A) 5B) 2C) 8D) 10E) 7

What is a histogram used for?A) To represent cumulative frequenciesB) To display data using vertical bars representing frequenciesC) To calculate means and mediansD) To show relationships between two variablesE) To compare two separate data sets

What does it imply when data points in a scatter plot fall roughly on a curve?A) The relationship is linearB) There is no relationship between the variablesC) The relationship is non-linearD) The data points are randomE) The variables are independent

What is the first step in constructing a grouped frequency distribution?A) Tally the dataB) Find the cumulative frequencyC) Determine the classesD) Calculate the rangeE) Select the number of tallies

What is the minimum value in the given data set? A) 10 B) 12 C) 14 D) 15 E) 17

What kind of graph is used to display data over time?A) Pie graphB) Bar graphC) Scatter plotD) Time series graphE) Pareto chart

Which graph is suitable for displaying a pair of quantitative variables?A) Bar graphB) Pie graphC) Pareto chartD) HistogramE) Scatter plot

What is the cumulative frequency for the class limits 11 – 13?A) 2B) 5C) 11D) 16E) 20

In the given data set, how many classes should be created?A) 3B) 4C) 5D) 6E) 7

What is the first step in constructing a categorical frequency distribution?A) Count the talliesB) Find the percentage of valuesC) Construct a tableD) Place results in column CE) Tally the data

How many patients were surveyed in the study of cigarette consumption?A) 10B) 15C) 20D) 25E) 30

What is the primary focus of 'Graphic Detail' by The Economist? A) Book reviews B) Charts, Maps and Infographics C) News articles D) Biographies E) Scientific research

What percentage of the patients in the sample smoked more than 10.5 cigarettes per day? A) 50%B) 40%C) 25%D) 30%E) 70%

Which type of graph is commonly used to show frequency distributions?A) Pie ChartB) Line GraphC) HistogramD) Bar GraphE) Scatter Plot

What type of frequency distribution categorizes data into distinct groups?A) Ungrouped frequency distributionB) Categorical frequency distributionC) Random frequency distributionD) Continuous frequency distributionE) Complex frequency distribution

Which graph is primarily used to compare different categories?A) Time series graphB) Scatter plotC) Pie graphD) Line graphE) Histogram

What is the calculated class width for the given data set?A) 2.5B) 3.4C) 4.0D) 5.0E) 6.0

What percentage of the patients in the sample smoked less than 16.5 cigarettes per day?A) 60%B) 70%C) 75%D) 65%E) 80%

What is the maximum value in the provided data set? A) 24 B) 28 C) 30 D) 27 E) 22

Which class boundary corresponds to the frequency of 5?A) 4.5 – 7.5B) 10.5 – 13.5C) 13.5 – 16.5D) 16.5 – 19.5E) 19.5 – 22.5

Which type of graph can be used to summarize both a single categorical variable and provide insights into the relative proportions?A) HistogramB) Pie graphC) Scatter plotD) Box plotE) Line graph

What does it mean if the data points in a scatter plot do not exhibit any obvious pattern?A) There is a strong correlationB) There is a weak correlationC) There is no correlationD) The data is perfectly clusteredE) The data is normally distributed

What does an ogive represent?A) Individual data pointsB) Cumulative frequencies for classes in a frequency distributionC) The mean of a datasetD) The range of values in a datasetE) The mode of a dataset

Which column contains the tallies in a categorical frequency distribution table?A) Column AB) Column BC) Column CD) Column DE) Column E

What is the highest number of cigarettes smoked per day by a patient in the data set?A) 22B) 19C) 18D) 17E) 16

Which census was conducted in 2011? A) 2006 Census B) 2016 By-Census C) 2011 Census D) 1996 By-Census E) 2021 By-Census

What does a bar graph use to represent data?A) LinesB) DotsC) Vertical or horizontal barsD) Pie slicesE) Area segments

What do frequency polygons effectively illustrate?A) The relationship between two categorical variablesB) The distribution of data points in a continuous datasetC) Average values across different datasetsD) Individual data points in a datasetE) The variance in a dataset

Which frequency distribution involves organizing data into intervals?A) Categorical frequency distributionB) Grouped frequency distributionC) Ungrouped frequency distributionD) Discrete frequency distributionE) Proportional frequency distribution

What type of data is summarized by categorical frequency distributions?A) Quantitative dataB) Nominal or ordinal dataC) Continuous dataD) Discrete dataE) Interval data

What does a grouped frequency distribution represent?A) The total count of data pointsB) A summary of data organized into classesC) Individual data points in their original formD) Data arranged in alphabetical orderE) An ungrouped collection of items

What is the frequency of a class in a grouped frequency distribution?
A) The average value of the data in the class
B) The total number of classes in the distribution
C) The number of data values contained in the class
D) The cumulative total of all classes
E) The range of values in the class

What type of relationship is observed in the scatter plot of the gender inequality index versus the democracy index?
A) Positive linear relationship
B) Negative linear relationship
C) No relationship
D) Exponential relationship
E) Quadratic relationship

What do the axes of the scatter plot represent?
A) Temperature and humidity
B) Gender inequality index and democracy index
C) Time and distance
D) Income and expenditure
E) Population and area

What are class boundaries used for in a grouped frequency distribution?
A) To create gaps in the frequency distribution
B) To separate the classes without gaps
C) To identify the mean of the data
D) To calculate class width
E) To determine the total frequency

What does the scatter plot represent in the given data?
A) Driver salaries versus miles travelled
B) Miles travelled per driver versus obesity rate
C) Fuel efficiency versus obesity rate
D) Yearly income versus miles travelled
E) Age versus obesity rate

What does a categorical frequency distribution represent?
A) Numerical data only
B) Data grouped by categories
C) Continuous data
D) Data with no organization
E) Only qualitative data

When are ungrouped frequency distributions commonly used?
A) When data is qualitative
B) When the range of data is large
C) For numerical data with a small range
D) For categorical data only
E) When data is continuous

What type of relationship is indicated by the scatter plot?
A) Negative linear relationship
B) No relationship
C) Positive linear relationship
D) Curvilinear relationship
E) Exponential relationship

In the provided categorical frequency distribution, what is the total frequency?
A) 100
B) 45
C) 40
D) 30
E) 12

What does a time series graph represent?
A) Data from multiple categories at one time
B) Data that occur over a specific period of time
C) Data that do not change over time
D) Data that only represent a single event
E) Data without any specific time frame

What does each class in an ungrouped frequency distribution correspond to?
A) Multiple data values
B) A range of values
C) Exactly one data value
D) No data value
E) An average of data values

What is the maximum number of decimal places in the provided data set?
A) 1
B) 3
C) 2
D) 0
E) 4

What is the class midpoint in a grouped frequency distribution?
A) The average of all frequencies
B) The difference between upper and lower class limits
C) The sum of lower and upper boundaries divided by 2
D) The maximum value in a class
E) The minimum value in a class

Is the scatter plot a time series plot?
A) Yes, it represents time data
B) No, it is not a time series plot
C) It depends on the year
D) Yes, but only for certain years
E) No, because it has no years

What does the frequency of 'Fr' represent in the distribution?
A) 12
B) 40
C) 18
D) 45
E) 30

What is a 'class' in the context of organizing data?
A) A group of unrelated data points
B) A category in which raw data values are placed
C) A numerical value representing data
D) A specific data point
E) A method for analyzing data

What type of graph is used to represent the distribution of minorities in Hong Kong?
A) Line graph
B) Bar graph
C) Pie graph
D) Histogram
E) Scatter plot

What type of data was plotted in the time series graph mentioned?
A) The temperature of a city over a year
B) The support rate of 6 candidates in an election
C) The sales figures of a product
D) The population growth of a country
E) The stock prices of a company

Where can further details about the scatter plot be found?
A) In a textbook
B) On The Economist website
C) In a scientific journal
D) On a government statistics page
E) In a research paper

What is the lower class boundary for the class with the highest frequency of cigarettes smoked?
A) 3.5
B) 1.5
C) 4.5
D) 10.5
E) 19.5

What percentage does the 'So' category represent in the distribution?
A) 30%
B) 12%
C) 15%
D) 25%
E) 40%

What does the lower class limit represent?
A) The highest value in a data set
B) The smallest data value that can be included in the class
C) The average value of the data
D) The median of the data
E) The total number of data points

Which department conducted the survey on the distribution of minorities in Hong Kong?
A) Department of Health
B) Census and Statistics Department
C) Education Department
D) Environmental Protection Department
E) Department of Labor

What is the primary purpose of a time series graph?
A) To compare different categories
B) To represent data without a time factor
C) To track changes in data over time
D) To display a single value
E) To represent static data

What type of information can be found on the Census and Statistics Department's page?
A) Historical events
B) Survey Reports
C) Literature reviews
D) Personal stories
E) Movie reviews

Given the data set, what is the calculated class width?
A) 0.5
B) 0.25
C) 0.4
D) 0.333
E) 1.0

What is the upper class boundary for the class with the highest frequency of cigarettes smoked?
A) 5.5
B) 10.5
C) 13.5
D) 7.5
E) 22.5

How many categories are represented in the provided categorical frequency distribution?
A) 5
B) 4
C) 6
D) 3
E) 2

What does it indicate if data points fall roughly on a straight line with a positive slope in a scatter plot?
A) There is a negative correlation
B) There is no correlation
C) There is a positive correlation
D) The data is normally distributed
E) There is a perfect correlation

What is the class width calculated from the given data set with a range of 30 to 10 and 5 classes?
A) 2.00
B) 4.00
C) 5.00
D) 6.00
E) 3.00

What does the upper class limit signify?
A) The total of all data values
B) The smallest data value in a set
C) The largest data value that can be included in the class
D) The middle value of a data set
E) The range of the data

Which type of graph is used to summarize a single categorical variable?
A) Histogram
B) Scatter plot
C) Time series graph
D) Bar graph
E) Box plot

What is the primary purpose of the pie graph in the context of the distribution of minorities?
A) To show changes over time
B) To display relationships between variables
C) To represent parts of a whole
D) To compare different groups
E) To illustrate trends

Which census is linked to the year 2006?
A) 2021 Census
B) 2011 Census
C) 2006 By-Census
D) 1996 Census
E) 2016 By-Census

How many patients in the sample smoked less than 10.5 cigarettes per day?
A) 5
B) 10
C) 15
D) 20
E) 25

What is the midpoint for the class with the highest frequency of cigarette smoking?
A) 4.0
B) 5.0
C) 9.0
D) 11.0
E) 14.0

What does a straight line with a negative slope in a scatter plot suggest?
A) The variables are independent
B) There is a positive correlation
C) There is a negative correlation
D) The data is uniform
E) The line is horizontal

Why should the class width be rounded to the next integer in this case?
A) Because all values are decimals
B) Because of the number of classes
C) Because maximum number of decimal places observed is 0
D) Because the data is not normally distributed
E) Because of the data type

Which of the following is NOT a type of graph mentioned in the summary?
A) Pie graph
B) Bar graph
C) Scatter plot
D) Line graph
E) Pareto chart

What type of graph is best for showing the change of a quantitative variable over time?
A) Bar graph
B) Pie chart
C) Time series graph
D) Pareto chart
E) Scatter plot

What is the frequency of patients who smoked between 5 and 7 cigarettes per day?
A) 2
B) 5
C) 3
D) 6
E) 11

What organization is associated with the Public Opinion Programme?
A) Harvard University
B) Stanford University
C) Hong Kong University
D) Oxford University
E) Cambridge University

How many patients in the sample smoked more than 16.5 cigarettes per day?
A) 5
B) 3
C) 7
D) 10
E) 0

What is the primary purpose of organizing data in statistics?
A) To make data look more appealing
B) To simplify, summarize, and present data clearly
C) To confuse readers with complex information
D) To store data in physical formats
E) To eliminate unnecessary data

How many patients in the sample smoked more than 13.5 cigarettes per day?
A) 5
B) 2
C) 8
D) 10
E) 7

What is a histogram used for?
A) To represent cumulative frequencies
B) To display data using vertical bars representing frequencies
C) To calculate means and medians
D) To show relationships between two variables
E) To compare two separate data sets

What does it imply when data points in a scatter plot fall roughly on a curve?
A) The relationship is linear
B) There is no relationship between the variables
C) The relationship is non-linear
D) The data points are random
E) The variables are independent

What is the first step in constructing a grouped frequency distribution?
A) Tally the data
B) Find the cumulative frequency
C) Determine the classes
D) Calculate the range
E) Select the number of tallies

What is the minimum value in the given data set?
A) 10
B) 12
C) 14
D) 15
E) 17

What kind of graph is used to display data over time?
A) Pie graph
B) Bar graph
C) Scatter plot
D) Time series graph
E) Pareto chart

Which graph is suitable for displaying a pair of quantitative variables?
A) Bar graph
B) Pie graph
C) Pareto chart
D) Histogram
E) Scatter plot

What is the cumulative frequency for the class limits 11 – 13?
A) 2
B) 5
C) 11
D) 16
E) 20

In the given data set, how many classes should be created?
A) 3
B) 4
C) 5
D) 6
E) 7

What is the first step in constructing a categorical frequency distribution?
A) Count the tallies
B) Find the percentage of values
C) Construct a table
D) Place results in column C
E) Tally the data

How many patients were surveyed in the study of cigarette consumption?
A) 10
B) 15
C) 20
D) 25
E) 30

What is the primary focus of 'Graphic Detail' by The Economist?
A) Book reviews
B) Charts, Maps and Infographics
C) News articles
D) Biographies
E) Scientific research

What percentage of the patients in the sample smoked more than 10.5 cigarettes per day?
A) 50%
B) 40%
C) 25%
D) 30%
E) 70%

Which type of graph is commonly used to show frequency distributions?
A) Pie Chart
B) Line Graph
C) Histogram
D) Bar Graph
E) Scatter Plot

What type of frequency distribution categorizes data into distinct groups?
A) Ungrouped frequency distribution
B) Categorical frequency distribution
C) Random frequency distribution
D) Continuous frequency distribution
E) Complex frequency distribution

Which graph is primarily used to compare different categories?
A) Time series graph
B) Scatter plot
C) Pie graph
D) Line graph
E) Histogram

What is the calculated class width for the given data set?
A) 2.5
B) 3.4
C) 4.0
D) 5.0
E) 6.0

What percentage of the patients in the sample smoked less than 16.5 cigarettes per day?
A) 60%
B) 70%
C) 75%
D) 65%
E) 80%

What is the maximum value in the provided data set?
A) 24
B) 28
C) 30
D) 27
E) 22

Which class boundary corresponds to the frequency of 5?
A) 4.5 – 7.5
B) 10.5 – 13.5
C) 13.5 – 16.5
D) 16.5 – 19.5
E) 19.5 – 22.5

Which type of graph can be used to summarize both a single categorical variable and provide insights into the relative proportions?
A) Histogram
B) Pie graph
C) Scatter plot
D) Box plot
E) Line graph

What does it mean if the data points in a scatter plot do not exhibit any obvious pattern?
A) There is a strong correlation
B) There is a weak correlation
C) There is no correlation
D) The data is perfectly clustered
E) The data is normally distributed

What does an ogive represent?
A) Individual data points
B) Cumulative frequencies for classes in a frequency distribution
C) The mean of a dataset
D) The range of values in a dataset
E) The mode of a dataset

Which column contains the tallies in a categorical frequency distribution table?
A) Column A
B) Column B
C) Column C
D) Column D
E) Column E

What is the highest number of cigarettes smoked per day by a patient in the data set?
A) 22
B) 19
C) 18
D) 17
E) 16

Which census was conducted in 2011?
A) 2006 Census
B) 2016 By-Census
C) 2011 Census
D) 1996 By-Census
E) 2021 By-Census

What does a bar graph use to represent data?
A) Lines
B) Dots
C) Vertical or horizontal bars
D) Pie slices
E) Area segments

What do frequency polygons effectively illustrate?
A) The relationship between two categorical variables
B) The distribution of data points in a continuous dataset
C) Average values across different datasets
D) Individual data points in a dataset
E) The variance in a dataset

Which frequency distribution involves organizing data into intervals?
A) Categorical frequency distribution
B) Grouped frequency distribution
C) Ungrouped frequency distribution
D) Discrete frequency distribution
E) Proportional frequency distribution

What type of data is summarized by categorical frequency distributions?
A) Quantitative data
B) Nominal or ordinal data
C) Continuous data
D) Discrete data
E) Interval data

What does a grouped frequency distribution represent?
A) The total count of data points
B) A summary of data organized into classes
C) Individual data points in their original form
D) Data arranged in alphabetical order
E) An ungrouped collection of items

What is a characteristic feature of a Pareto chart?
A) It displays only quantitative variables
B) It includes a time dimension
C) It shows categories in descending order of frequency
D) It represents data with lines
E) It is used for continuous data

What defines raw data?
A) Processed information
B) Data collected in original form
C) Data represented in graphs
D) Summarized statistics
E) Compiled reports

After determining the classes, what is the next step in the procedure for constructing a grouped frequency distribution?
A) Find the upper class limits
B) Tally the data
C) Calculate the average
D) Write down the lowest data value
E) Find the cumulative frequency

If the range for a dataset with a maximum value of 3.0 and a minimum value of 1.0 is calculated, what is the value of the range?
A) 1.0
B) 2.0
C) 3.0
D) 4.0
E) 5.0

How many integers are present in the given data set?
A) 15
B) 20
C) 25
D) 10
E) 12