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WorksheetsFrequency Distribution and their Graphs
Total questions: 25
Worksheet time: 13mins
What is another name for the ogive?
Histogram
Frequency Polygon
Cumulative frequency graph
Pareto chart
What are the boundaries for 8 - 9?
8.5 - 9.5
7.5 - 9.5
8.55 - 9.55
8 - 9
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.
True
False
The type of graph used to represent data is determined by the type of data collected and by the researcher's purpose.
True
False
Except for rounding errors, relative frequencies should add up to what sum?
0
1
50
100
Use the given frequency distribution to find the
(a) class width
(b) midpoints of the first class
(c) boundaries of the first class
(a) 3
(b) 51
(c) 50 - 52
(a) 2
(b) 51.5
(c) 50 - 52
(a) 3
(b) 51
(c) 49.5 - 52.5
(a) 2
(b) 51.5
(c) 49.5 - 52.5
Use the ogive to approximate the number in the sample.
100
28
80
341
Identify the class with the highest relative frequency.
95 - 105
105 - 115
115 - 125
125 - 135
Identify the class with the least relative frequency.
115 - 125
125 - 135
135 - 145
145 - 155
Approximate the greatest relative frequency.
0.03
0.15
0.25
0.35
Approximate the least relative frequency.
0.03
0.15
0.25
0.35
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
7 - 17
12 - 19
12 - 20
12 - 18
Use the frequency histogram to determine the number of classes.
5
6
7
8
Use the frequency histogram to determine the class width
7
8
9
10
Use the ogive to approximate the location of the greatest increase in frequency.
58 - 60
60 - 62
62 - 64
64 - 66
Use the ogive to approximate the greatest increase.
5
10
15
20
Use the ogive to approximate the cumulative frequency for a height of 72 inches.
36
43
48
51
Use the frequency polygon to identify the class with the greatest frequency.
20.5 - 23.5
29.5 - 32.5
35.5 - 38.5
What are some benefits of representing data sets using frequency distributions?
Organizing the data into a frequency distribution makes it possible to graph quantitative data
It is easier to determine the minimum and maximum values of a data set when it has been arranged into a frequency distribution
Organizing the data into a frequency distribution can make patterns within the data more evident.
What is the difference between relative frequency and cumulative frequency?
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.
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.
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.
There is no difference between the two.
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.
Class width = 11
19, 29, 41, 52, 63, 73
Class width = 11
18, 29, 41, 51, 62, 73
Class width = 11
8, 19, 30, 41, 52, 63
Class width = 11
8, 18, 30, 40, 51, 63
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.
19, 30, 40, 51, 63, 73
18, 29, 41, 52, 62, 73
19, 30, 41, 52, 63, 73
18, 29, 40, 51, 62, 73
Use the frequency histogram to answer each question.
Determine the number of classes.
7
6
8
5
What is the difference between a frequency polygon and an ogive?
A frequency polygon displays class frequencies while an ogive displays cumulative frequencies
A frequency polygon is a line graph while an ogive is a histogram
It is easier to find patterns in the data from a frequency polygon than an ogive.
There is no difference between a frequency polygon and an ogive.
Use the given frequency distribution to find the midpoints.
41.5, 45.5, 49.5, 53.5, 57.5, 61.5, 65.5
none of these
42.5, 46.5, 50.5, 54.5, 58.5, 62.5, 66.5
40.5, 44.5, 48.5, 52.5, 56.5, 60.5, 64.5
