Question

What is the 27th percentile of the numbers, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 43, 44, 45, 46, 47, 48, 50, 53? This is sample data.

Answer 1

The percentile is 27 .

Solution:

All the values in the series are in order small to large, ,22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 43, 44, 45, 46, 47, 48, 50, 53

There are total 18 numbers in the problem.

To find the index multiply
`27\%` by 18.

So, the index is
`(0.27*18)=4.8\approx5`

Now counting the data set from left to right i.e, from smallest to largest the 5th number of the series is 27.

Hence, the
`27^(th)` percentile of the data set is 27.