Relative Frequency Distribution Example

Relative frequency – is how often something happens divided by all outcomes.

Example 1:

We have the frequency distribution of the chips “Pringles” at 40 different shops.

Price for 1 bank of chips Number of shops
$23.50–$23.74 11
$23.75–$23.99 9
$24.00–$24.24 10
$24.25–$24.49 10

Find the relative frequency for shops prices.

Solution:

According to the given information, we can build a relative frequency for shops prices:

Price for 1 bank of chips Number of shops Relative frequency (fraction) Relative frequency (percent)
$23.50–$23.74 11 11/40 = 0.275 27.5%
$23.75–$23.99 9 9/40 = 0.225 22.5%
$24.00–$24.24 10 10/40 = 0.25 25%
$24.25–$24.49 10 10/40 = 0.25 25%

With a sample size of 40 shops, we have divided each number of shops by 40. The result can be written as a fraction or as a percentage. For example, 25% of shops have relative frequency of prices between $24.25 and $24.49.

Example 2:

We have the weight of 100 persons in the school. We should find relative frequency for each weight limits.

Weight (kg) 60-62 63-65 66-68 69-71 72-74
№ of persons 6 17 40 29 8

Solution:

The relative frequency for each weight limits is shown in table below:

Relative frequency table
Weight (kg) № of persons Relative frequency
60-62 6 6/100 = 0.06 or 6%
63-65 17 17/100 = 0.17 or 17%
66-68 40 40/100 = 0.40 or 40%
69-71 29 29/100 = 0.29 or 29%
72-74 8 8/100 = 0.08 or 8%

The lowest frequency is for the weight 60-62 kg, and the biggest – is for the weight 66-68 kg.

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