Question

Find the value of the 15th and 75th percentiles of the data. 19,10,8,6,12,8,18,21,20,3,18,13,6,2,14,13,12,16,17,21

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of the 15th percentile, first sort the data in ascending order:

2, 3, 6, 6, 8, 8, 10, 12, 12, 13, 13, 14, 16, 17, 18, 18, 19, 20, 21, 21

The position of the 15th percentile is calculated as (15/100)*20 = 3.

So, the 15th percentile value is the 3rd value in the sorted list, which is 6.

To find the value of the 75th percentile, the position of the 75th percentile is calculated as (75/100)*20 = 15.

So, the 75th percentile value is the 15th value in the sorted list, which is 18.

Therefore, the 15th percentile is 6 and the 75th percentile is 18.