The frequency is the number of occurrences of an outcome in the given sample, and there are mainly two types of frequencies named Absolute and Relative frequencies.
Absolute frequency the number of observations in a particular category.
For example, suppose 10 persons participated in a test, and their results were declared in two categories as Pass (P) and Fail (F). The result are {P,F,P,F,F,P,P,F,P,P}. Let us use a1 and a2 to refer to Pass and Fail categories. So the absolute frequencies of a1 and a2 are referred to as n1, and n2 respectively.
- 6 persons passed, so n1 = 6.
- 4 persons failed, so n2 = 4.
The n1 and n2 are simply trying to present the number of units present in the category.
Relative frequency is the ratio of the number of times a value of the data occurs in all outcomes to the total number of outcomes. For example, The relative frequency of a1 and a2 are as follows:
- a1 = n1/(n1+n2) = 6/10 = .6 or 60%
- a2 = n2/(n1+n2) = 4/10 = .4 or 40%
Mainly, it gives us information about the proportions of Pass and Fails person in the test.
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