Deck 2: Frequency Distributions and Graphs

Question 1

Which of the following pairs of class limits would be appropriate for grouping the numbers 10, 13, 8, and 15 ?

A) 7-11 and 11-15
B) 8-10 and 13-15
C) 8-10 and 11-15
D) 8-11 and 12-15

Answer 1

D

Question 2

What is the midpoint of the class 6-10 ?

A) 8.5
B) 8
C) 5
D) 4

Answer 2

B

Question 3

What is the midpoint of the class 13-16 ?

A) 1.5
B) 14.5
C) 3
D) 14

Answer 3

B

Question 4

For the class 16.3-23.8, the width is 8.5.

Question 5

If the limits for a class were 20-38, the boundaries would be 19.5-38.5.

Question 6

For grouped frequency distributions, the __________ is obtained by adding the lower and upper limits and dividing by 2.

Question 7

What is the lower class limit of the class 13-17?

A) 15
B) 17
C) 13
D) 12.5

Question 8

Thirty students recorded the colors of their eyes, choosing from the colors brown, blue, green, hazel, and black. This data can be appropriately summarized in a(n)______________ .

A) open-ended distribution
B) categorical frequency distribution
C) grouped frequency distribution
D) upper boundary

Question 9

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution would be best?

A) ungrouped
B) grouped
C) categorical
D) cumulative

Question 10

What is the upper class boundary of the class 23-35 ?

A) 35
B) 7.5
C) 35.5
D) 7

Question 11

In an ungrouped frequency distribution of the average age of high school graduates, what would be the boundaries for the class of graduates who were reported to be 18 years old?

A) 17-19 years old
B) 17.5 - 18.5 years old
C) 17.6 - 18.5 years old
D) 17.6 19.5 years old

Question 12

For the class 5 - 18, the upper class limit is

A) 4.5
B) 5
C) 18
D) 18.5

Question 13

When data are collected in original form, they are called __________.

Question 14

The __________ of a specific class is the number of data values contained in it.

Question 15

If a frequency distribution had class boundaries of 132.5-147.5, what would be the class width?

Question 16

What are the boundaries of the class 11-18?

A) 10.5 and 18.5
B) 7.5 and 21.5
C) 11 and 18
D) 7

Question 17

The lower class limit represents the smallest data value that can be included in the class.

Question 18

What is the lower class limit in the class 7-11 ?

A) 7
B) 9
C) 7.5
D) 6.5

Question 19

Which of the following does not need to be done when constructing a frequency distribution?

A) select the number of classes desired
B) find the range
C) make the class width an even number
D) use classes that are mutually exclusive

Question 20

What are the boundaries of the class 1.87-3.43 ?

A) 1.82-3.48
B) 1.87-3.43
C) 1.879-3.439
D) 1.865-3.435

Question 21

Find the class with the least number of data values.

A) 55-65
B) 65-75
C) 75-85
D) 85-95

Question 22

Which type of graph represents the data by using vertical bars of various heights to indicate frequencies?

A) ogive
B) frequency polygon
C) histogram
D) cumulative frequency

Question 23

A recent statistics exam yielded the following 25 scores. Construct a grouped frequency distribution with the class limits shown below.
61 90 79 57 63
55 83 70 62 95
90 83 41 72 85
76 82 75 94 57
72 72 46 81 93

A)
B)
C)
D)

Question 24

An ogive is also called a cumulative frequency graph.

Question 25

When the range is large, and classes that are several units in width are needed, a __________ frequency distribution is used.

Question 26

Which of the following is a frequency polygon?

A)
B)
C)
D)

Question 27

The frequency polygon and the histogram are two different ways to represent the same data set.

Question 28

Construct a frequency polygon from the following frequency distribution.

Question 29

The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive).

Question 30

Find the class with the greatest number of data values.

A) 55-65
B) 65-75
C) 75-85
D) 85-95

Question 31

For a given data set, the ogive and the frequency polygon will have the same overall shape.

Question 32

Which of the following could be an ogive?

A)
B)
C)
D)

Question 33

Graphs that show distributions using proportions instead of raw data as frequencies are called

A) relative frequency graphs.
B) ogive graphs.
C) histograms.
D) frequency polygons.

Question 34

Which of the following could be a cumulative frequency graph?

A)
B)
C)
D)

Question 35

Which of the following is a histogram?

A)
B)
C)
D)

Question 36

The cumulative frequency for a class is the sum of the frequencies of the classes less than and equal to the upper boundary of the specific class.

Question 37

Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16 ?

A) 66
B) 60
C) 30
D) 20

Question 38

A histogram is a graph that represents the cumulative frequencies for the classes in a frequency distribution.

Question 39

The frequency polygon is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.

Question 40

A recent statistics exam yielded the following 10 scores. Construct a frequency polygon distribution using the class limits shown below.
80, 99, 77, 67, 93, 70, 76, 86, 79, 71

A)
B)
C)
D)

Question 41

Construct a Pareto chart for the following distribution:

Question 42

A time series graph is useful for detecting trends that occur over the period of time.

Question 43

A pie graph is not useful in showing which of the following characteristics of a data set?

A) frequency changes over time
B) relative frequencies for each category in the distribution
C) categories that make up the largest proportions of the total
D) categories that make up the smallest proportions of the total

Question 44

Construct a Pareto chart for the following distribution:

Question 45

If the graph of a frequency distribution has a peak and the data tapers off more slowly to the right and more quickly to the left, the distribution is said to be ____________.

Question 46

A time series graph is useful for which of the following purposes?

A) representing relative frequencies of categories at a specific time
B) representing the cumulative frequencies of the data at a specific time
C) representing the frequencies of the data, sorted from largest to smallest
D) representing the changing frequencies of a data category over a period time

Question 47

Construct a pie chart for the following distribution:

Question 48

A Pareto chart does not have which of the following properties?

A) frequencies displayed by the heights of vertical bars
B) frequencies arranged from highest to lowest
C) quantitative variable on the horizontal axis
D) classes of data are categorical

Question 49

The percentages of white, wheat, and rye bread sold at a supermarket each week is best shown using a __________ graph.

Question 50

How many values are in the data set whose histogram is shown below ?

A) 6
B) 22
C) 76
D) 72

Question 51

The following information shows the colors of cars preferred by customers. Draw a pie graph and indicate how many degrees that black represents in a pie graph?

Question 52

A time series graph represents data that occur over a specific time period.

Question 53

Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 8 of 24 classmates did homework for three hours each day. In her pie graph, this would represent how many degrees?

A) 135°
B) 45°
C) 120°
D) 240°

Question 54

Which graph should be used to represent the frequencies with which certain courses are taken at Highlands Middle School?

A) Pareto chart
B) time series graph
C) pie graph
D) pictograph

Question 55

A local fundraiser wants to graphically display the contributions he has received over the past five years. Construct a time series graph for the following data.

Question 56

Construct a pie graph using the following data from a local bakery.

Question 57

Given the following frequency distribution, how many pieces of data were less than 28.5?

A) 12
B) 13
C) 25
D) 44

Question 58

Construct a pie chart for the following distribution:

Question 59

A weatherman records the amount of rain that fell in Portland, Oregon each day for a year. What type of graph should he use to show how rainfall changes during the year ?

A) pie graph
B) pictograph
C) time series graph
D) Pareto chart

Question 60

A pie graph would best represent the number of inches of rain that has fallen in Ohio each day for the past 2 months.

Question 61

Which of the following is a Pareto chart?

A)
B)
C)
D)

Question 62

A stem and leaf plot has the advantage over a grouped frequency distribution of retaining the actual data while still showing them in graphical form.

Question 63

The scores on a recent statistics exam are shown below. Construct a stem and leaf plot for the data.
98, 73, 64, 69, 86, 89, 77, 86, 91, 73

Question 64

A Pareto chart arranges data from largest to smallest according to frequencies.

Question 65

When making Pareto charts, data should be arranged ________________________ according to frequency.

A) from smallest to largest
B) with increasing time
C) from largest to smallest
D) clockwise

Question 66

A Pareto chart is useful for showing percentages of the total at different times.

Question 67

If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart?

A) 90°
B) 120°
C) 60°
D) 150°

Question 68

An automobile dealer wants to construct a pie graph to represent types of cars sold in July. He sold 72 cars, 16 of which were convertibles. How many degrees should be used for the convertibles section ?

A) 60°
B) 80°
C) 100°
D) 50°

Question 69

A __________ graph would most appropriately represent the number of students that were enrolled in Statistics for each of the past ten years.

Question 70

What type of graph is the figure below?

A) Pareto chart
B) pictograph
C) ogive
D) pie graph

Question 71

When two sets of data collected over specific periods of time are compared on the same graph using two lines, it is called a compound time series graph.

Question 72

Graphs give a visual representation that may enable readers to analyze and interpret data more easily than simply looking at tables of numbers.

Question 73

Given the following two sets of data, draw a back-to-back stem and leaf plot.
A - 12, 22, 22, 24, 34, 31, 26, 35, 27, 39, 49, 10
B - 45, 36, 23, 16, 37, 28, 18, 13, 10, 23, 30, 31