Question

Find the first percentile

453, 498, 651, 514, 552

Answer 1

Solution:

First we arrange given data in ascending order:

453 , 498 , 514 , 552 , 651

We have to find first percentile P1 using formula:

Total count = n = 5

K = 1

Pk = 0.06

Since the position found is not integer, the method of interpolation needs to be used. The 1% percentile is located between the values in the positions 0 and 1. Those values, based on the data organized in ascending order, are and 453.

The value of 0.06 - 0 = 0.06 corresponds to the proportion of the distance between and 453 where the percentile we are looking for is located at. In fact, we compute

P1 ​= 0 + 0.06 × (453 - 0) = 27.18

Hence, first percentile = 27.18

Done