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How to Calculate Relative Frequency.
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How to Calculate Relative Frequency.

Rosemary Njeri

The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.

Relative frequencies are used to construct histograms whose heights can be interpreted as probabilities.

Formula to calculate relative frequency.

Twenty students were asked how many hours they studied per day. Their response was recorded in a frequency distribution table.

No. of Students.No. of Hours Studied. (Frequency)
2 3
42
51
17
35
56

To get the relative frequency in this case, we will take each frequency divided by the total frequency.

No. of Students.No. of hours (Frequency).Relative Frequency.
233 ÷ 24 = 0.125
422 ÷ 24 = 0.083
511 ÷ 24 = 0.042
177 ÷ 24 = 0.292
355 ÷ 24 = 0.208
566 ÷ 24 = 0.250

The sum of the relative frequency column should be 1.

Example:

Below is a frequency distribution table representing number of students absent in every grade.

GradeNo. of students (Frequency)
Grade 110
Grade 25
Grade 34
Grade 46
Grade 53
Grade 62
Grade 71
Grade 82
Grade 91
Grade 101

The total frequency or the cumulative frequency in this case is 35. Therefore, to get the relative frequency, we divide each frequency by 35.

GradeNo. of absentees (Frequency)Relative Frequency
Grade 11010 ÷ 35=0.28
Grade 255 ÷ 35=0.14
Grade 344 ÷ 35=0.11
Grade 466 ÷ 35=0.17
Grade 533 ÷ 35=0.09
Grade 622 ÷ 35=0.06
Grade 711 ÷ 35=0.03
Grade 822 ÷ 35=0.06
Grade 911 ÷ 35=0.03
Grade 1011 ÷ 35=0.03

The sum of the relative frequency is 1.

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