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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