Deck 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Question 1

A frequency distribution is a grouping of quantitative data into overlapping classes showing the number of observations in each class.

Answer 1

False

Question 2

The midpoint of a class is halfway between the lower and upper limits.

Answer 2

True

Question 3

A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

Answer 3

True

Question 4

To construct a pie chart,relative class frequencies are used to graph the "slices" of the pie.

Question 5

A small sample of computer operators shows monthly incomes of $1,950,$1,775,$2,060,$1,840,$1,795,$1,890,$1,925,and $1,810. What are these ungrouped numbers called?

A)Histograms
B)Class limits
C)Class frequencies
D)Raw data

Question 6

A class interval can be determined by subtracting the lower limit of a class from the lower limit of the next higher class.

Question 7

To convert a frequency distribution to a relative frequency distribution,divide each class frequency by the number of classes.

Question 8

In a bar chart,the heights of the bars represent the frequencies in each class.

Question 9

A pie chart is similar to a relative frequency distribution.

Question 10

When data are collected using a quantitative,ratio variable,what is true about a frequency distribution that summarizes the data?

A)Upper and lower class limits must be calculated.
B)A pie chart can be used to summarize the data.
C)The number of classes is equal to the number of variable values.
D)The "5 to the k rule" can be applied.

Question 11

When data are collected using a qualitative,nominal variable,what is true about a frequency table that summarizes the data?

A)The upper and lower class limits must be calculated.
B)A pie chart can be used to summarize the data.
C)The number of classes is equal to the number of variable's values plus 2.
D)The "5 to the k rule" can be applied.

Question 12

A frequency table for qualitative data has class limits.

Question 13

To summarize the gender of students attending a college,the number of classes in a frequency table depends on the number of students.

Question 14

When data are collected using a qualitative,nominal variable (e.g.,male or female),what is true about a frequency table that summarizes the data?

A)The upper and lower class limits must be calculated.
B)Class midpoints can be computed.
C)The number of classes corresponds to the number of a variable's values.
D)The "2 to the k rule" can be applied.

Question 15

In a bar chart,the horizontal axis is usually labeled with the values of a qualitative variable.

Question 16

To convert a frequency distribution to a relative frequency distribution,divide each class frequency by the sum of the class frequencies.

Question 17

A pie chart shows the relative frequency in each class.

Question 18

In frequency distributions,classes are mutually exclusive if each individual,object,or measurement is included in only one category.

Question 19

A frequency polygon is a very useful graphic technique when comparing two or more distributions.

Question 20

Monthly commissions of first-year insurance brokers are $1,270,$1,310,$1,680,$1,380,$1,410,$1,570,$1,180,and $1,420. These figures are referred to as

A)a histogram.
B)raw data.
C)a frequency distribution.
D)a frequency polygon.

Question 21

Refer to the following distribution of commissions: What is the relative frequency for salespeople who earn from $1,600 up to $1,800?

A)0.02
B)0.024
C)0.20
D)0.24

Question 22

Refer to the following distribution of commissions: To plot a cumulative frequency distribution,the first coordinate would be

A)X = 0,Y = 600.
B)X = 500,Y = 3.
C)X = 3,Y = 600.
D)X = 600,Y = 0.

Question 23

The relative frequency for a class represents the

A)class width.
B)class midpoint.
C)class interval.
D)percentage of observations in the class.

Question 24

In a frequency distribution,the number of observations in a class is called the class

A)midpoint.
B)interval.
C)array.
D)frequency.

Question 25

A student was interested in the cigarette-smoking habits of college students and collected data from an unbiased random sample of students. The data are summarized in the following table: What is wrong with this frequency table?

A)The number of males does not equal the sum of males that smoke and do not smoke.
B)The classes are not mutually exclusive.
C)There are too many classes.
D)Class limits cannot be computed.

Question 26

When a class interval is expressed as 100 up to 200,

A)observations with values of 100 are excluded from the class.
B)observations with values of 200 are included in the class.
C)observations with values of 200 are excluded from the class.
D)the class interval is 99.

Question 27

What is the following table called?

A)Histogram
B)Frequency polygon
C)Cumulative frequency distribution
D)Frequency distribution

Question 28

A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify their political preferences-for example,Democrat,Republican,Libertarian,or another party. The best way to illustrate the relative frequency distribution is a

A)bar chart.
B)pie chart.
C)histogram.
D)frequency polygon.

Question 29

A group of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high,medium,or low. In the study,30 students responded high interest,50 students responded medium interest,and 20 students responded low interest. What is the best way to illustrate the relative frequency of student interest?

A)Use a cumulative frequency polygon.
B)Use a box plot.
C)Use a pie chart.
D)Use a frequency table.

Question 30

Why are unequal class intervals sometimes used in a frequency distribution?

A)To avoid a large number of classes with very small frequencies.
B)For the sake of variety in presenting the data.
C)To make the class frequencies smaller.
D)To avoid the need for midpoints.

Question 31

For the following distribution of heights,what are the limits for the class with the greatest frequency?

A)64 and up to 70
B)65 and 69
C)65 and up to 70
D)69.5 and 74.5

Question 32

A student was interested in the cigarette-smoking habits of college students and collected data from an unbiased random sample of students. The data are summarized in the following table: What type of chart best represents the relative class frequencies?

A)Box plot
B)Pie chart
C)Scatter plot
D)Frequency polygon

Question 33

The monthly salaries of a sample of 100 employees were rounded to the nearest $10. They ranged from a low of $1,040 to a high of $1,720. If we want to condense the data into seven classes,what is the most convenient class interval?

A)$50
B)$100
C)$150
D)$200

Question 34

A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify themselves as a Democrat or a Republican. This question is flawed because

A)students generally don't know their political preferences.
B)the categories are generally mutually exclusive.
C)the categories are not exhaustive.
D)political preference is a continuous variable.

Question 35

Here is a sample distribution of hourly earnings in Paul's Cookie Factory: The limits of the class with the smallest frequency are

A)$6.00 and $9.00.
B)$12.00 and up to $14.00.
C)$11.75 and $14.25.
D)$12.00 and up to $15.00.

Question 36

The number of employees less than the upper limit of each class at Lloyd's Fast Food Emporium is shown in the following table: What is it called?

A)A histogram
B)A cumulative frequency distribution
C)A pie chart
D)A frequency polygon

Question 37

For a relative frequency distribution,relative frequency is computed as

A)the class width divided by the class interval.
B)the class midpoint divided by the class frequency.
C)the class frequency divided by the class interval.
D)the class frequency divided by the number of observations.

Question 38

A group of 100 students was surveyed about their interest in a new International Studies program. Interest was measured in terms of high,medium,or low. In the study,30 students responded high interest,40 students responded medium interest,and 30 students responded low interest. What is the relative frequency of students with high interest?

A)0.30
B)0.50
C)0.40
D)0.030

Question 39

A student was interested in the cigarette-smoking habits of college students and collected data from an unbiased random sample of students. The data are summarized in the following table: What type of chart best represents the frequency table?

A)Bar chart
B)Box plot
C)Scatter plot
D)Frequency polygon

Question 40

A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify their political preferences-for example,Democrat,Republican,Libertarian,or another party. The best way to illustrate the frequencies for each political preference is a

A)bar chart.
B)box plot.
C)histogram.
D)frequency polygon.

Question 41

Refer to the following information from a frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". What is the class interval?

A)1"
B)2"
C)2.5"
D)3"

Question 42

Refer to the following information from a frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". What are the class limits for the lowest class?

A)61 and up to 64
B)62 and up to 64
C)62 and 65
D)62 and 63

Question 43

Refer to the following distribution of commissions: What is the relative frequency of salespeople who earn $1,600 or more?

A)25.5%
B)27.5%
C)29.5%
D)30.8%

Question 44

Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company: How many employees were absent fewer than six days?

A)60
B)31
C)91
D)46

Question 45

Refer to the following information from a frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". What are the class limits for the third class?

A)64 and up to 67
B)67 and 69
C)67 and up to 70
D)66 and 68

Question 46

Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company: How many employees were absent six or more days?

A)8
B)4
C)22
D)31

Question 47

Refer to the following distribution of commissions: For the preceding distribution,what is the midpoint of the class with the greatest frequency?

A)1,400
B)1,500
C)1,700
D)The midpoint cannot be determined.

Question 48

Refer to the following distribution of ages: What is the class midpoint of the highest class?

A)54
B)55
C)64
D)65

Question 49

Refer to the following wage breakdown for a garment factory: What is the class interval for the preceding table of wages?

A)$2
B)$3
C)$4
D)$5

Question 50

Refer to the following distribution: What is the relative class frequency for the $25 up to $35 class?

A)0.02
B)0.04
C)0.05
D)0.10

Question 51

Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company: How many employees were absent for 3 up to 6 days?

A)31
B)29
C)14
D)2

Question 52

Refer to the following wage breakdown for a garment factory: What are the class limits for the class with the smallest frequency?

A)3.5 and 6.5
B)4 and up to 7
C)13 and up to 16
D)12.5 and 15.5

Question 53

Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company: How many employees were absent for 6 up to 12 days?

A)20
B)8
C)12
D)17

Question 54

Refer to the following distribution of ages: For this distribution of ages,what is the relative class frequency for the lowest class?

A)0.50
B)0.18
C)0.20
D)0.10

Question 55

Refer to the following distribution of commissions: What is the class interval?

A)200
B)300
C)3,500
D)400

Question 56

Refer to the following distribution of ages: What is the class interval?

A)9
B)10
C)10.5
D)11

Question 57

Refer to the following distribution: What is the class midpoint for the $45 up to $55 class?

A)49
B)49.5
C)50
D)50.5

Question 58

Refer to the following breakdown of responses to a survey of room service in a hotel: What is the class interval for this frequency table?

A)10
B)20
C)40
D)None apply

Question 59

Refer to the following wage breakdown for a garment factory: What is the class midpoint for the class with the greatest frequency?

A)$5.50
B)$8.50
C)$11.50
D)$14.50

Question 60

Refer to the following distribution: What are the class limits for the class with the highest frequency?

A)55 up to 64
B)54 up to 64
C)55 up to 65
D)55 up to 64.5

Question 61

In constructing a frequency distribution,the approximate class interval is computed as

A)(maximum value − minimum value)/(number of classes).
B)(maximum value − minimum value)/(sample size).
C)(minimum value − maximum value)/(sample size).
D)(maximum value)/(number of classes − sample size).

Question 62

In order to convert class frequency to relative class frequency,we

A)divide the midpoint of the class by the sample size.
B)divide the frequency of the class by the midpoint.
C)divide the sample size by the frequency of the class.
D)divide the frequency of the class by the sample size.

Question 63

Refer to the following breakdown of responses to a survey of "How confident are you that you saved enough to retire?" What is the class interval for the preceding frequency table?

A)10
B)20
C)40
D)None apply

Question 64

Refer to the following breakdown of responses to a survey of "How confident are you that you saved enough to retire?" What is the class with the greatest frequency?

A)Very confident
B)Somewhat confident
C)Not very confident
D)Don't know

Question 65

A table summarizing a set of data showing the fraction of the total number of items in several classes is a

A)relative frequency table.
B)frequency table.
C)normal frequency table.
D)cumulative frequency table.

Question 66

Refer to the following breakdown of responses to a survey of room service in a hotel: What type of chart should be used to show relative class frequencies?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon

Question 67

Refer to the following breakdown of responses to a survey of room service in a hotel: What type of chart should be used to describe the frequency table?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon

Question 68

Refer to the following breakdown of responses to a survey of "Are you concerned about being tracked while connected to the Internet?" What type of chart should be used to describe the frequency table?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon

Question 69

Refer to the following breakdown of responses to a survey of "How confident are you that you saved enough to retire?" What type of chart should be used to describe the frequency table?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon

Question 70

Refer to the following breakdown of responses to a survey of room service in a hotel: What is the class with the greatest frequency?

A)Not satisfied
B)Satisfied
C)Highly satisfied
D)None apply

Question 71

Refer to the following breakdown of responses to a survey of room service in a hotel: What percentage of the responses indicated that customers were satisfied?

A)40%
B)33%
C)50%
D)100%

Question 72

A pie chart shows the

A)relative frequencies of a qualitative variable.
B)relative frequencies of a quantitative variable.
C)frequencies of a nominal variable.
D)frequencies of a ratio variable.

Question 73

Refer to the following breakdown of responses to a survey of "Are you concerned about being tracked while connected to the Internet?" What is the class with the greatest frequency?

A)Very concerned
B)Somewhat concerned
C)No concern
D)None apply

Question 74

Refer to the following breakdown of responses to a survey of "Are you concerned about being tracked while connected to the Internet?" What percentage of the responses indicated that users were somewhat concerned?

A)40%
B)70%
C)20%
D)100%

Question 75

Refer to the following breakdown of responses to a survey of "How confident are you that you saved enough to retire?" What percentage of the responses indicated that users were very confident?

A)63%
B)21%
C)45%
D)33%

Question 76

Refer to the following breakdown of responses to a survey of "Are you concerned about being tracked while connected to the Internet?" What type of chart should be used to show relative class frequencies?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon

Question 77

Refer to the following breakdown of responses to a survey of "Are you concerned about being tracked while connected to the Internet?" What is the class interval for the preceding frequency table?

A)10
B)20
C)40
D)None apply

Question 78

Refer to the following breakdown of responses to a survey of "How confident are you that you saved enough to retire?" What type of chart should be used to show relative class frequencies?

A)A pie chart
B)A bar chart
C)A histogram
D)A frequency polygon