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

Question 1

The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. 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

Answer 1

$100

Question 2

Using the frequency table below, determine the relative frequencies for Apartment and Townhouse listings.

A) 5000 and.5000
B) 5000 and.2653
C) 2653 and.1429
D) 1429 and.2495
E) 5918 and.1429

Answer 2

5918 and.1429

Question 3

The monthly incomes of a small sample of computer operators are $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

Answer 3

Raw data

Question 4

(i. A frequency table is a grouping of qualitative data into mutually exclusive classes showing the number of observations in each class. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 5

(i. Bar charts are useful for showing the percent that various components compose of the total. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A frequency polygon is ideal for showing the trend or sales of income over time.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 6

A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with low interest?

A) 30%
B) 50%
C) 20%
D) Cannot be determined.

Question 7

(i. Pie charts are useful for showing the percent that various components compose of the total. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 8

(i. A frequency distribution is grouping of data into classes showing the number of observations in each class. (ii) The midpoint of a class, which is also called a class mark, is halfway between the lower and upper limits.
(iii) A class interval, which is the width of a class, can be determined by subtracting the lower limit of a class from the lower limit of the next higher class.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 9

A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with high interest?

A) 30%
B) 50%
C) 20%
D) Cannot be determined.

Question 10

A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with medium interest?

A) 30%
B) 50%
C) 20%
D) Cannot be determined.

Question 11

What is the following table called?

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

Question 12

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

Question 13

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 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 14

When data is collected using a qualitative, nominal variable, i.e., male or female, what is true about a frequency distribution that summarizes the data?

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

Question 15

Which of the following would be most helpful if you wished to construct a pie chart?

A) a frequency distribution
B) a relative frequency table
C) a cumulative frequency distribution
D) an ogive
E) a clustered bar chart

Question 16

Quinn's Café serves ice cream. She asks 100 of her regular customers to take a taste test and pick the flavour they like the best. The results are shown in the following table. Is the data quantitative or qualitative? What is the name of the table shown?

A) quantitative, simple table
B) quantitative, frequency table
C) qualitative, frequency table
D) qualitative, cumulative frequency distribution
E) quantitative, bar chart

Question 17

(i. Bar charts are useful for showing the percent that various components compose of the total. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 18

(i. A frequency table is a grouping of qualitative data into mutually exclusive classes showing the number of observations in each class. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A relative frequency table shows the fraction or percent of the number of observations in each class.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 19

When a class interval is expressed as: 100 to under 200

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

Question 20

(i. A frequency distribution is grouping of data into classes showing the number of observations in each class. (ii) In constructing a frequency distribution, you should try to have open-ended classes such as "Under $100" and "$1,000 and over".
(iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).

Question 21

Refer to the following distribution of commissions: What is the relative frequency of those salespersons that earn more than $1,599?

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

Question 22

Consider the following relative frequency distribution: If there are 2,000 numbers in the data set, how many of the values are less than 30?

A) 900
B) 90
C) 1900
D) 100

Question 23

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

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

Question 24

Refer to the following distribution of commissions: What is the relative frequency for those salespersons that earn between $1,500 and $1,800?

A) 2%
B) 2.4%
C) 20%
D) 24%
E) Unable to determine without approximation

Question 25

One rule that must always be followed in constructing frequency distributions is that _______.

A) the number of classes must be less than 10
B) each data point can only fall into one class
C) the width of each class is equal to the range
D) the number of intervals must be an odd number
E) the class intervals must overlap

Question 26

What is the class midpoint for the $45 up to $55 class?

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

Question 27

(i. Simple bar charts may be constructed either horizontally or vertically. (ii) A frequency polygon is a very useful graphic technique when comparing two or more distributions
(iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question 28

Refer to the following distribution of commissions: What is the relative frequency for those salespersons that earn between $1,600 and $1,799?

A) 2%
B) 2.4%
C) 20%
D) 24%

Question 29

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 $14.00
C) $11.75 and $14.25
D) $12.00 and $15.00

Question 30

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 31

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
What is the class interval?

A) $1.00
B) $2.00
C) $2.50
D) $3.00

Question 32

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
What are the class limits for the third class?

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

Question 33

The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school: Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

A) there are too many intervals
B) the class widths are too small
C) some numbers between 18,000 and 30,000 would not fall into any of these intervals
D) the first and the second intervals overlap
E) the second and third intervals overlap

Question 34

What are the class limits for the $55 up to $65 class?

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

Question 35

Refer to the following ages (rounded to the nearest whole year) of employees at a large company that were grouped into a distribution with class limits: 20 up to 30
30 up to 40
40 up to 50
50 up to 60
60 up to 70
What is the class interval and the midpoint of the first class?

A) 20 and 25
B) 20 and 24.5
C) 10 and 25
D) 10 and 24.5

Question 36

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
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 37

Refer to the following distribution of commissions: The first plot for a cumulative greater than frequency distribution should be:

A) X = 0,Y = 600.
B) X = 600,Y = 3.
C) X = 3,Y = 600.
D) X = 600,Y = 120.

Question 38

The head of the statistics department wants to determine the number of mistake made by students in their first online assignment. She gathers information from her classes of the past year. The approximate range (distance from the minimum value in the raw data up to the maximum value) of the data is _________.

A) 150
B) 40
C) 10
D) 2

Question 39

The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school: Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

A) there are too many intervals
B) the class widths are too small
C) some numbers between 18,000 and 30,000 would fall into two different intervals
D) the first and the second interval overlap

Question 40

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

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

Question 41

What is the relative class frequency for the $25 up to $35 class?

A) 2%
B) 4%
C) 5%
D) 10%

Question 42

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

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

Question 43

Refer to the following cumulative frequency distribution on 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 44

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 45

The age distribution of a sample of the part-time employees at Lloyd's Fast Food Emporium is: What type of chart has the data been organized to draw?

A) Histogram
B) Simple Frequency Polygon
C) Cumulative frequency polygon
D) Pie chart
E) Frequency polygon

Question 46

When a class interval is expressed as: 100 to under 200 (i) Observations with values of 100 are included from the class frequency.
(ii. Observations with values of 200 are included in the class frequency.
(iii) Observations with values of 200 are excluded from the class frequency.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) is a correct statement but not (i) or (iii).

Question 47

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

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

Question 48

The relative frequency for a class is computed as

A) Class width divided by class interval.
B) Class midpoint divided by the class frequency.
C) Class frequency divided by the class interval.
D) Class frequency divided by the total frequency.

Question 49

Refer to the following distribution of commissions: What is the class midpoint for the class with the greatest frequency?

A) $1400
B) $1500
C) $1600
D) $1700

Question 50

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

A) 31
B) 29
C) 14
D) 2
E) 17

Question 51

(i. In constructing a frequency distribution, you should try to have open-ended classes such as "Under $100" and "$1,000 and over". (ii) To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the sum of the class frequencies.
(iii) When constructing a frequency distribution, try to include overlapping stated class limits, such as 100 up to 201, 200 up to 301, and 300 up to 401.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) is a correct statement but not (i) or (iii).
E) (i), (ii) and (iii) are all false statements.

Question 52

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

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

Question 53

Refer to the following distribution of commissions: What are the class limits for the class with the smallest number of frequencies?

A) 600 and 800
B) 800 and1000
C) 2000 and 2200
D) 599 and 799

Question 54

Refer to the following chart showing a distribution of exporting firms: For the distribution above, what is the midpoint of the class with the greatest frequency?

A) $6 million
B) $9.5 million
C) $15.5 million
D) The midpoint cannot be determined

Question 55

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

A) $200
B) $3
C) $400
D) $1600

Question 56

Refer to the following chart showing a distribution of exporting firms: What is the class interval? _____

A) 2
B) 3
C) 3.5
D) 4

Question 57

Refer to the following chart showing a distribution of exporting firms: What percentage of the firms export less than $14 million in product?

A) 3%
B) 6%
C) 49%
D) 94%
E) 75%

Question 58

Refer to the following cumulative 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 59

(i. Pie charts are useful for showing the percent that various components compose of the total. (ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A Frequency Polygon is ideal for showing the trend or sales of income over time.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) (i), (ii) and (iii) are all false statements.

Question 60

Refer to the following chart showing a distribution of exporting firms: How many firms export less than $14 million in product?

A) 3
B) 60
C) 50
D) 49

Question 61

(i.. The stem in a stem-and-leaf display is the leading digit (ii) There is no loss of information when raw data is tallied into a stem-and-leaf display.
(iii). For a stem-and-leaf display, the leaf for the value 98 is 9

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii) and (iii) are all false statements.

Question 62

A row of a stem-and-leaf chart appears as follows: 3 | 0 1 3 5 7 9. Assume that the data is rounded to the nearest unit.

A) The frequency of the class is seven.
B) The minimum value in the class is 0.
C) The maximum value in the class could be 39.
D) The class interval is 5.

Question 63

(i. A table showing the number of observations that have been grouped into each of several classes is called a frequency distribution. (ii) When classes in a frequency table are constructed so that data will fit into only one category, it is called mutually exclusive.
(iii) The suggested class interval based on number of observations given the data ranges from 100 to 200 with 50 observations is 20

A) (i), (ii) and (iii) are all correct statements.
B) (i), (ii) and (iii) are all false statements.
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).

Question 64

(i. If you are constructing a stem-and-leaf display, the "20" in 20.5 would be the stem. (ii) An advantage of a stem-and-leaf chart over a histogram is that the identity of each observation is not lost, and that it presents a picture of the distribution.
(iii) An advantage of a stem-and-leaf chart over a histogram is that it presents a picture of the distribution.

A) (i), (ii) and (iii) are all correct statements.
B) (i), (ii) and (iii) are all false statements.
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).

Question 65

A useful chart or graph to use for illustrating relative frequencies is the ________________.

A) bar chart
B) pie chart
C) clustered bar chart
D) multiple line polygon

Question 66

The grades on a statistics exam for a sample of students are as follows: If A+ = 90%-100%
A = 80%-89%
B+ = 75%-79%
B = 70%-74%
C+ = 65%-69%
C = 60%-64%
D+ = 55%-59%
D = 50%-54%
F = 0-49%
What is the most common letter grade earned?

A) A (80%-89%)
B) B (70%-74%)
C) C (60%-64%)
D) D (50%-54%)
E) F (0-49%)

Question 67

The grades on a statistics exam for a sample of students are as follows: How many students wrote this test?

A) 36
B) 35
C) 38
D) 7
E) 43

Question 68

In a simple Frequency Polygon, where is time plotted?

A) On the X-axis
B) On the Y-axis
C) On either axis
D) Never plotted

Question 69

(i. A table showing the number of observations that have been grouped into each of several classes is called a frequency distribution. (ii) When classes in a frequency table are constructed so that data will fit into only one category, it is called mutually exclusive.
(iii) The best means to display data that is based on a trend over a period of time is the polygon.

A) (i), (ii) and (iii) are all correct statements.
B) (i), (ii) and (iii) are all false statements.
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).

Question 70

The following represent the ages of students in a class: 19, 23, 21, 19, 19, 20, 22, 31, 21, 20
If a stem and leaf plot were to be developed from this, how many leaves would there be off the second stem?

A) 11
B) 2
C) 3
D) 4
E) 6

Question 71

Given the following stem and leaf plot, determine the smallest value in the data set.

A) 1
B) 19
C) 199
D) 45
E) 2

Question 72

(i. A table showing the number of observations that have been grouped into each of several classes is called a frequency distribution. (ii) When classes in a frequency table are constructed so that data will fit into only one category, it is called a relative class frequency.
(iii) The suggested class interval based on number of observations given the data ranges from 100 to 200 with 50 observations is 50.

A) (i), (ii) and (iii) are all correct statements.
B) (i), (ii) and (iii) are all false statements.
C) (i) and (iii) are correct statements but not (ii).
D) (i) is a correct statement but not (ii) or (iii).

Question 73

The grades on a statistics exam for a sample of students are as follows: If A = 80%-100%
B = 70%-79%
C = 60%-69%
D = 50%-59%
F =0-49%
What is the most common letter grade earned?

A) A (80%-100%)
B) B (70%-79%)
C) C (60%-69%)
D) D (50%-59%)
E) F (0-49%)

Question 74

Given the following stem and leaf plot, determine the largest value in the data set.

A) 87
B) 819
C) 28
D) 17
E) 817

Question 75

Consider the following stem and leaf plot: Suppose that you decided to develop a frequency distribution from this plot.
What would be the lower limit of the first class?

A) 0
B) 10
C) 11
D) 1
E) 3

Question 76

The following represent the ages of students in a class: 19, 23, 21, 19, 19, 20, 22, 31, 21, 20
If a stem and leaf plot were to be developed from this, how many stems would there be?

A) 1
B) 2
C) 3
D) 4
E) 10

Question 77

The grades on a statistics exam for a sample of students are as follows: If A + = 90%-100%
A = 80%-89%
B+ = 75%-79%
B = 70%-74%
C+ = 65%-69%
C = 60%-64%
D+ = 55%-59%
D = 50%-54%
F = 0-49%
What is the most common letter grade earned?

A) A (80%-89%)
B) B (70%-74%)
C) C (60%-64%)
D) D (50%-54%)
E) F (0-49%)

Question 78

(i. For a stem-and-leaf display, the leaf for the value 98 is 9. (ii) There is some loss of information when raw data is tallied into a stem-and-leaf display.
(iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

A) (i), (ii) and (iii) are all correct statements.
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (iii) is a correct statement but not (i) or (ii)
E) (i), (ii) and (iii) are all false statements.

Question 79

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

A) X-axis
B) Y-axis
C) Z-axis

Question 80

The grades on a statistics exam for a sample of students are as follows: If A + = 90%-100%
A = 80%-89%
B+ = 75%-79%
B = 70%-74%
C+ = 65%-69%
C = 60%-64%
D = 55%-59%
F = 0%-54%
How many student earned a letter grade of C?

A) 1
B) 3
C) 4
D) 5
E) 10