Deck 2: Describing Data: Frequencydistributions and Graphic Presentation

Question 1

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 1

.5918 and .1429

Question 2

(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).

Answer 2

(i) and, (iii) are correct statements but not (ii).

Question 3

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.

Answer 3

Number of classes corresponds to number of the variable's values.

Question 4

The chart below shows the Gross Domestic Product for 7 nations. Which of the following statements
Can be determined from this chart?

A) The GDP of the USA is approximately twice the size of each of the other countries.
B) Germany's GDP is approximately half of that of Japan.
C) Germany's GDP is approximately half of that of Canada.
D) The GDP of the USA is larger than the total GDP of all the other 6 countries combined.

Question 5

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 6

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 7

If the enrolment for this Faculty of Business remained constant at 625 between 2000 and 2001,
Determine the change in the enrolment in the School of Accounting during this time.

A) increase of 19 students
B) decrease of 19 students
C) increase of 75 students
D) decrease of 75 students
E) decrease of 25 students

Question 8

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 9

(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 10

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 11

(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 12

(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 13

The chart below shows the Gross Domestic Product for 7 nations. Which of the following statements
Can be determined from this chart?

A) The GDP of the USA is approximately twice the size of each of the other countries.
B) Germany's GDP is approximately half of that of Italy.
C) Germany's GDP is approximately twice of that of Canada.
D) The GDP of Japan is approximately $4 trillion.

Question 14

(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 15

(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 16

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

Question 17

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 18

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 19

Statistics Canada report 2010 results in the following chart. Is the data quantitative or qualitative? What is the name of the table shown?

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

Question 20

(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 21

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 22

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 23

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 24

The chart below can be best described as

A) Frequency Polygon
B) Bar chart
C) Pie chart
D) Stacked bar chart
E) Cumulative stacked bar chart

Question 25

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

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

Question 26

What is the following table called?

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

Question 27

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 28

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 29

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 30

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 31

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 32

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 33

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 34

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 35

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

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

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 38

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 39

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 40

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 41

How many employees were absent from 6 to under 12 days?

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

Question 42

What is the class interval for the table of commissions above?

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

Question 43

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 44

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 45

(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 46

What is the class midpoint of the highest class?

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

Question 47

(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 48

How many employees were absent fewer than six days?

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

Question 49

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 50

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 51

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 52

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 53

What percentage of the firms export less than $14 million in product?

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

Question 54

How many employees were absent between 3 to under 6 days?

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

Question 55

How many firms export less than $14 million in product?

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

Question 56

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 57

What is the class midpoint for the class with the greatest frequency?

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

Question 58

How many employees were absent six or more days?

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

Question 59

What is the class interval? _____

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

Question 60

What is the class interval?

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

Question 61

The chart below can be best described as

A) Frequency Polygon
B) Bar chart
C) Clustered bar chart
D) Stacked bar chart
E) Histogram

Question 62

Which is the best (most informative and useful) graphical display of the Average Weekly Earnings
Health Care in Canada over the years 2008 to 2012?

A)
B)
C)
D)

Question 63

The chart below can be best described as

A) Frequency Polygon
B) Cumulative frequency polygon
C) Clustered bar chart
D) Stacked bar chart
E) Histogram

Question 64

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

Question 65

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 66

The Lake Ontario Credit Union selected a sample of 40 student chequing accounts. Below is a chart
Of their end-of-the-month balances. The bank considers any student with an ending balance of
$400 or more a "preferred customer". Estimate the percentage of preferred customers.

A) 37.5%
B) 60%
C) 25%
D) 75%

Question 67

(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 68

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 69

(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 70

The chart below can be best described as

A) Frequency Polygon
B) Bar chart
C) Clustered bar chart
D) Stacked bar chart
E) Histogram

Question 71

The Lake Ontario Credit Union selected a sample of 40 student chequing accounts. Below is a chart
Of their end-of-the-month balances. The bank considers any student with an ending balance of
$400 or more a "preferred customer". Estimate the number of preferred customers in this sample.

A) 10
B) 15
C) 30
D) 40

Question 72

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 73

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 74

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 75

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 76

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

A) 2%
B) 4%
C) 5%
D) 10%
E) None of the choices are correct.

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

Which is the best (most informative and useful) graphical display of the Average Weekly Earnings
Health Care in Canada over the years 2008 to 2012?

A)
B)
C)
D)

Question 79

What type of graph is this?

A) frequency polygon
B) multiple frequency polygon
C) bar chart
D) stacked bar chart
E) cumulative frequency polygon

Question 80

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.