Deck 2: Frequency Distributions and Graphs

Question 1

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

Answer 1

False

Question 2

A frequency polygon and a histogram have the same overall shape.

Answer 2

True

Question 3

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

Answer 3

True

Question 4

A grouped frequency distribution is used when the range of the data values is relatively small.

Question 5

A time series graph is useful for detecting long term trends over a period of time.

Question 6

A pie graph was created showing the number of children per family. If 234 families were in the survey
and the section depicting families with three children represented 120°, the number of families with three
children was 78.

Question 7

A stem and leaf plot is useful for keeping more precision than a grouped frequency distribution.

Question 8

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

Question 9

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 10

A histogram uses the midpoints for the x values and the frequencies as the y values.

Question 11

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

Question 12

An ogive graph is also called a cumulative frequency graph.

Question 13

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

Question 14

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

Question 15

An ogive and a frequency polygon have the same overall shape.

Question 16

Graphs give a visual representation that enables readers to analyze and interpret data more easily than
they could simply by looking at numbers.

Question 17

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

Question 18

The cumulative frequency is the sum of the frequencies accumulated to the upper boundary of a class in
the distribution.

Question 19

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

Question 20

For the class 16.3-23.8, the width is 7.

Question 21

What is the midpoint of the class 4-15?

A) 4
B) 9.5
C) 4 and 15
D) 9.5 and 11

Question 22

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution should he use?

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

Question 23

Which of the following should not be done when constructing a frequency distribution?

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

Question 24

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

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

Question 25

What is the lower class limit in the class -7 to 14

A) -7
B) 3.5
C) 14
D) -7.5

Question 26

In order to graphically compare two frequency distributions, one should use relative frequency
distributions in order to take differing sample sizes into account.

Question 27

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

A) Open-ended distribution
B) Categorical frequency distribution
C) Grouped frequency distribution
D) Upper boundary

Question 28

For the class 10-18, the upper class limit is

A) 9
B) 10
C) 18
D) 19

Question 29

What would be the boundaries on the average age for high school graduates if they were reported to be 18 years old?

A) 17.5-18.5 years old
B) 17.5-19.5 years old
C) 17.6-18.6 years old
D) 17.5-19 years old

Question 30

What is the midpoint of the classes 13.5-17.3?

A) 13.4
B) 15.4
C) 17.3
D) 14.3

Question 31

The larger the sample size, the larger the relative frequencies.

Question 32

What are the boundaries of the class 1.87-3.43?

A) 1.9-3.4
B) 1.87-3.43
C) 1.879-3.439
D) 1.865-3.435

Question 33

A) 70
B) 90
C) 60
D) 40

Question 34

One disadvantage of pie charts is that it is difficult to visually compare 2 frequency distributions. Plotting
relative frequency distributions (polygons or ogives) on the same axes is usually more informative.

Question 35

What are the boundaries of the class 4-18?

A) 4
B) 14
C) 4 and 18
D) 3.5 and 14.5

Question 36

Using the class 23-35, what is the upper class boundary?

A) 35
B) 29
C) 35.5
D) 23

Question 37

For the numbers -5, -2, -7, and 0, which of the following that includes all four is a good class?

A) -8 to 1
B) -5 to 1
C) -7 to 0
D) -7 to 1

Question 38

A stem and leaf plot is a data plot that uses part of a data value as the stem and part of the data value as
the leaf to form groups or classes.

Question 39

The rate of mortality of children is very high in the first weeks of life. It then decreases rapidly until 1 or
2 years of age and then increases slowly into the teen years. In this situation one should construct relative
frequency distributions (per year of age) with narrow class widths during the first year of life so as to
exhibit the quickly changing mortality rate.

Question 40

The range 31.87-34.33 is not a good choice for class boundaries because

A) it is too narrow
B) it is too wide
C) the class limits are difficult to interpret
D) it has an odd width

Question 41

Which of the following is a frequency polygon?

Question 42

Exaggerating a one-dimensional increase by showing it in two dimensions is an example of a(n)

A) pictograph.
B) pie graph.
C) ogive.
D) misleading graph.

Question 43

Which graph should be used to represent the frequencies that certain types of classes are taken at Sir Robert Borden High School?

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

Question 44

The graphs that have their distributions as proportions instead of raw data as frequencies are called

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

Question 45

A) 70
B) 90
C) 60
D) 40

Question 46

A) 11
B) 22
C) 50
D) 100

Question 47

In a pie graph, if pepperoni pizza were of the distribution, how many degrees would be needed to represent pepperoni?

A) 90°
B) 120°
C) 60°
D) 150°

Question 48

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 49

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

A) Representing relative frequencies of categories in a specific year
B) Representing the cumulative frequencies of the data in a specific year
C) Representing the frequencies of the data, sorted from largest to smallest
D) Representing the frequencies of a data category over a period of several years

Question 50

Which of the following is a histogram?

Question 51

A) 12
B) 18
C) 34
D) 90

Question 52

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

A) It is a bar chart
B) The frequencies are arranged from highest to lowest
C) The frequencies are arranged from lowest to highest
D) It is used to represent categorical data

Question 53

Which of the following could be a cumulative frequency graph?

Question 54

Which of the following could be an ogive?

Question 55

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. The convertibles will represent how many degrees in the circle?

A) 60°
B) 80°
C) 100°
D) 50°

Question 56

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

Question 57

Pareto charts have units that are used for the frequency that are

A) decreasing in size.
B) increasing in size.
C) equal in size.
D) proportional in size.

Question 58

A pie graph is not useful to show which of the following characteristics of data?

A) The trend of the data over time
B) The relative frequencies of each category of the distribution
C) Which categories make up the larger proportions of the total
D) Which categories make up the smaller proportions of the total

Question 59

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

A) 12
B) 9
C) 25
D) 17

Question 60

A weatherman records the amount of rain that has fallen in Vancouver,B.C. during each day. What type of graph should he use?

A) pie graph
B) pictograph
C) time series graph
D) ogive

Question 61

Question 62

Question 63

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

Question 64

A) 0.5-20.5
B) 20.5-40.5
C) 40.5-60.5
D) 60.5-80.5

Question 65

A) The range of the grades is between 23 and 98.
B) Of the 29 students who took the exam, nine scored between 80 and 89.
C) There are no gaps in the data.
D) The data is bimodal.

Question 66

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

Question 67

A) 14%
B) 25%
C) 11%
D) 39%

Question 68

Which of the following is a Pareto chart?

Question 69

A __________ would most appropriately represent the yearly-number of students that were enrolled in
Statistics over the past ten years.
________________________________________

Question 70

If data is clustered at one end or the other, it indicates that there is a __________.

Question 71

The __________ is the number of values in a specific class of a frequency distribution.
________________________________________

Question 72

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

Question 73

The __________ is obtained by first adding the lower and upper limits and then dividing by 2.
________________________________________

Question 74

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

Question 75

Question 76

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

Question 77

Question 78

Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 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 79

Question 80

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