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------------------------------------------------ The following frequency table represents the number of hours someone works out in a week for 60 people. What is the 30th percentile of the data?

| Value (hours) | Frequency |
|:-------------:|:---------:|
| 1 | 2 |
| 2 | 4 |
| 3 | 1 |
| 4 | 2 |
| 5 | 4 |
| 6 | 3 |
| 7 | 1 |
| 8 | 2 |
| 9 | 3 |
| 11 | 4 |
| 12 | 4 |
| 13 | 5 |
| 14 | 4 |
| 15 | 2 |
| 16 | 4 |
| 17 | 5 |
| 18 | 3 |
| 19 | 1 |
| 20 | 6 |

Answer :

The 30th percentile of the data given is : 8

From the data given ; The 30th percentile can be calculated using the relation ;

  • n * percentile value ; n = Total Frequency

Now we have ;

30th percentile = 0.3 × 60

30th percentile = 18

Hence, the 30th percentile is the value where the cumulative frequency is : 18 which is : 8 hours

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