Quiz about Frequency Distribution and their Graphs

Question 1

What is another name for the ogive?

Accepted Answer

Cumulative frequency graph

Answer

Histogram

Answer

Frequency Polygon

Answer

Pareto chart

Question 2

What are the boundaries for 8 - 9?

Accepted Answer

7.5 - 9.5

Answer

8.5 - 9.5

Answer

8.55 - 9.55

Answer

8 - 9

Question 3

In the construction of a frequency distribution, it is a good idea to have overlapping class limits, such as 10-20, 20-30, 30-40.

Accepted Answer

False

Answer

True

Question 4

The type of graph used to represent data is determined by the type of data collected and by the researcher's purpose.

Accepted Answer

True

Answer

False

Question 5

Except for rounding errors, relative frequencies should add up to what sum?

Accepted Answer

1

Answer

0

Answer

50

Answer

100

Question 6

Use the given frequency distribution to find the

(a) class width

(b) midpoints of the first class

(c) boundaries of the first class

Accepted Answer

(a) 3

(b) 51

(c) 49.5 - 52.5

Answer

(a) 3

(b) 51

(c) 50 - 52

Answer

(a) 2

(b) 51.5

(c) 50 - 52

Answer

(a) 2

(b) 51.5

(c) 49.5 - 52.5

Question 7

Use the ogive to approximate the number in the sample.

Accepted Answer

80

Answer

100

Answer

28

Answer

341

Question 8

Identify the class with the highest relative frequency.

Accepted Answer

105 - 115

Answer

95 - 105

Answer

115 - 125

Answer

125 - 135

Question 9

Identify the class with the least relative frequency.

Accepted Answer

145 - 155

Answer

115 - 125

Answer

125 - 135

Answer

135 - 145

Question 10

Approximate the greatest relative frequency.

Accepted Answer

0.35

Answer

0.03

Answer

0.15

Answer

0.25

Question 11

Approximate the least relative frequency.

Accepted Answer

0.03

Answer

0.15

Answer

0.25

Answer

0.35

Question 12

A city in the Pacific Northwest recorded its highest temperature at 91 degrees Fahrenheit and its lowest temperature at 12 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes

Accepted Answer

12 - 19

Answer

7 - 17

Answer

12 - 20

Answer

12 - 18

Question 13

Use the frequency histogram to determine the number of classes.

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 14

Use the frequency histogram to determine the class width

Accepted Answer

10

Answer

7

Answer

8

Answer

9

Question 15

Use the ogive to approximate the location of the greatest increase in frequency.

Accepted Answer

64 - 66

Answer

58 - 60

Answer

60 - 62

Answer

62 - 64

Question 16

Use the ogive to approximate the greatest increase.

Accepted Answer

15

Answer

5

Answer

10

Answer

20

Question 17

Use the ogive to approximate the cumulative frequency for a height of 72 inches.

Accepted Answer

48

Answer

36

Answer

43

Answer

51

Question 18

Use the frequency polygon to identify the class with the greatest frequency.

Accepted Answer

29.5 - 32.5

Answer

20.5 - 23.5

Answer

35.5 - 38.5

Question 19

What are some benefits of representing data sets using frequency distributions?

Accepted Answer

Organizing the data into a frequency distribution makes it possible to graph quantitative data

Answer

It is easier to determine the minimum and maximum values of a data set when it has been arranged into a frequency distribution

Answer

Organizing the data into a frequency distribution can make patterns within the data more evident.

Question 20

What is the difference between relative frequency and cumulative frequency?

Accepted Answer

Relative frequency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes.

Answer

Relative frequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of observations in that class.

Answer

Relative frequency of a class is the number of observations in that class, while cumulative frequency of a class is the sum of all the frequencies.

Answer

There is no difference between the two.

Question 21

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

minimum = 8, maximum = 72, 6 classes

The class width is _______ . Choose the correct lower class limits below.

Accepted Answer

Class width = 11

8, 19, 30, 41, 52, 63

Answer

Class width = 11

19, 29, 41, 52, 63, 73

Answer

Class width = 11

18, 29, 41, 51, 62, 73

Answer

Class width = 11

8, 18, 30, 40, 51, 63

Question 22

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

minimum = 8, maximum = 72, 6 classes

Choose the correct upper class limits below.

Accepted Answer

18, 29, 40, 51, 62, 73

Answer

19, 30, 40, 51, 63, 73

Answer

18, 29, 41, 52, 62, 73

Answer

19, 30, 41, 52, 63, 73

Question 23

Use the frequency histogram to answer each question.

Determine the number of classes.

Accepted Answer

7

Answer

6

Answer

8

Answer

5

Question 24

What is the difference between a frequency polygon and an ogive?

Accepted Answer

A frequency polygon displays class frequencies while an ogive displays cumulative frequencies

Answer

A frequency polygon is a line graph while an ogive is a histogram

Answer

It is easier to find patterns in the data from a frequency polygon than an ogive.

Answer

There is no difference between a frequency polygon and an ogive.

Question 25

Use the given frequency distribution to find the midpoints.

Accepted Answer

41.5, 45.5, 49.5, 53.5, 57.5, 61.5, 65.5

Answer

none of these

Answer

42.5, 46.5, 50.5, 54.5, 58.5, 62.5, 66.5

Answer

40.5, 44.5, 48.5, 52.5, 56.5, 60.5, 64.5

Frequency Distribution and their Graphs

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