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

Question 1

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

Answer 1

False

Question 2

When data is collected using a qualitative, nominal variable, what is true about a frequency distribution 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.

Answer 2

B

Question 3

When data is 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's values.
D) The "5 to the k rule" can be applieD.

Answer 3

A

Question 4

A pie chart is similar to a relative frequency distribution.

Question 5

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

Question 6

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

Question 7

When data is collected using a qualitative, nominal variable (in other words, male or female), what is true about a frequency distribution 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 8

The midpoint of a class, which is also called a class mark, is halfway between the lower and upper limits.

Question 9

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(n) __________.

A) Histogram
B) Raw data
C) Frequency distribution
D) Frequency polygon

Question 10

A pie chart shows the relative frequency in each class.

Question 11

A frequency distribution for qualitative data has class limits.

Question 12

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

Question 13

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

Question 14

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) Histogram
B) Class limits
C) Class frequencies
D) Raw data

Question 15

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

Question 16

A frequency distribution groups data into classes showing the number of observations in each class.

Question 17

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

Question 18

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

Question 19

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

Question 20

In a bar chart, the x-axis is labeled with the values of a qualitative variable.

Question 21

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 22

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

A) .02
B) .024
C) .20
D) .24

Question 23

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

A) Midpoint
B) Interval
C) Array
D) Frequency

Question 24

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) .30
B) .50
C) .40
D) .030

Question 25

A sample distribution of hourly earnings in Paul's Cookie Factory is: 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 26

A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table: Why is the table NOT a frequency distribution?

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 27

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 total frequency

Question 28

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 29

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 table
C) A pie chart
D) A frequency polygon

Question 30

What is the following table called?

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

Question 31

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

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

Question 33

A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify their political preference-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 34

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 35

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

A) To avoid a large number of empty classes
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 36

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 37

The relative frequency for a class represents the ________________.

A) Class width
B) Class midpoint
C) Class interval
D) Percent of observations in the class

Question 38

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 39

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 40

A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify their political preference, 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 distribution: What is the class midpoint for the $45 up to $55 class?

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

Question 42

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

A) .50
B) .18
C) .20
D) .10

Question 43

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

A) .02
B) .04
C) .05
D) .10

Question 44

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

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

Question 45

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

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 46

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 47

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

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

Question 48

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 49

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 50

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

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

Question 51

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 52

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

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

Question 53

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

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

Question 54

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 55

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 56

Refer to the following frequency distribution on 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 57

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

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

Question 58

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 59

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

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

Question 60

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 61

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

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

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 percent of the responses indicated that users were very confident?

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

Question 64

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 65

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 66

In constructing a frequency polygon, class frequencies are scaled on the ______ axis.

Question 67

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 68

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 69

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 70

A frequency distribution for nominal data requires that the categories be ___________________ and _____________________.

Question 71

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

Question 72

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

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

Question 73

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

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

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 is the class with the greatest frequency?

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

Question 75

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 76

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 77

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 78

In constructing a frequency distribution, the approximate class width 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 79

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 80

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