Deck 2: Frequency Distributions and Graphs

Question 1

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

Answer 1

False

Question 2

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

Answer 2

True

Question 3

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

Answer 3

True

Question 4

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

Question 5

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

Question 6

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

Question 7

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 8

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

Question 9

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

Question 10

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 11

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

Question 12

An ogive graph is also called a cumulative frequency graph.

Question 13

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

Question 14

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

Question 15

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

Question 16

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 17

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

Question 18

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

Question 19

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

Question 20

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

Question 21

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 22

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

Question 23

What is the midpoint of the class 4-15?

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

Question 24

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

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

Question 25

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 26

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 27

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 28

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 29

What are the boundaries of the class 4-18?

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

Question 30

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

Question 31

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

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

Question 32

Find the class with the least number of data values.

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

Question 33

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 34

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 35

Find the class with the greatest number of data values.

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

Question 36

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

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

Question 37

What is the midpoint of the classes 13.5-17.3?

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

Question 38

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

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

Question 39

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 40

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 41

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

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

Question 42

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 43

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 44

The total frequency of the data whose ogive shown below is approximately

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

Question 45

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 46

Which of the following could be an ogive?

A)
B)
C)
D)

Question 47

In a pie graph, if pepperoni pizza were 24/72 of the distribution, how many degrees would be needed to represent pepperoni?

A)90°
B)120°
C)60°
D)150°

Question 48

Which of the following is a frequency polygon?

A)
B)
C)
D)

Question 49

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 50

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 51

Which of the following could be a cumulative frequency graph?

A)
B)
C) D

Question 52

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 53

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.

Question 54

The total frequency of the data whose histogram is shown below is approximately

A)11
B)22

Question 55

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 56

Which of the following is a histogram?

A)
B)
C)
D)

Question 57

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 58

What type of graph is the figure below?

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

Question 59

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 60

Which of the following is a Pareto chart?

A)
B)
C)
D)

Question 61

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

Question 62

Construct a Pareto chart for the following distribution:

Question 63

Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 8/24 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 64

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

Question 65

Construct a Pareto chart for the following distribution:

Question 66

In the figure below, what class boundary has 30% of the data?

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

Question 67

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

Question 68

Choose the correct statement describing the following stem and leaf plot for grades on a linear algebra exam.

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 69

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

Question 70

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 71

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

Question 72

Construct a pie chart for the following distribution:

Question 73

For the table below, calculate the percent of students that fell within the B class.

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

Question 74

Using the following frequency distribution, construct a frequency
polygon.

Question 75

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

Question 76

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

Question 77

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

Question 78

Construct a pie chart for the following distribution:

Question 79

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