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Date: 3-5-2021
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Date: 11-3-2021
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Date: 4-4-2021
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The word "class" has many specialized meanings in mathematics in which it refers to a group of objects with some common property (e.g., characteristic class or conjugacy class.)
In statistics, a class is a grouping of values by which data is binned for computation of a frequency distribution (Kenney and Keeping 1962, p. 14). The range of values of a given class is called a class interval, the boundaries of an interval are called class limits, and the middle of a class interval is called the class mark.
The following table summarizes the classes illustrated in the histogram above for an example data set.
class interval | class mark | absolute frequency | relative frequency | cumulative absolute frequency | relative cumulative frequency |
0.00- 9.99 | 5 | 1 | 0.01 | 1 | 0.01 |
10.00-19.99 | 15 | 3 | 0.03 | 4 | 0.04 |
20.00-29.99 | 25 | 8 | 0.08 | 12 | 0.12 |
30.00-39.99 | 35 | 18 | 0.18 | 30 | 0.30 |
40.00-49.99 | 45 | 24 | 0.24 | 54 | 0.54 |
50.00-59.99 | 55 | 22 | 0.22 | 76 | 0.76 |
60.00-69.99 | 65 | 15 | 0.15 | 91 | 0.91 |
70.00-79.99 | 75 | 8 | 0.08 | 99 | 0.99 |
80.00-89.99 | 85 | 0 | 0.00 | 99 | 0.99 |
90.00-99.99 | 95 | 1 | 0.01 | 100 | 1.00 |
REFERENCES:
Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, 1962.
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