00:02
In this problem, sample data values for 8 samples are given.
00:08
We need to compute 20th, 25th, 65th and 75th percentile.
00:17
The formula to find iath percentile is i into n plus 1 by 100.
00:27
First, let us arrange the given data values in ascending order.
00:33
As shown here.
00:36
16, 22, 24, 24, 26, 28, 28, 31 and 35.
00:48
Let us find the 20th percentile, which is equal to 20 into 8 plus 1 by 100, which is equal to 1 .8 .8 .1 by 100, which is equal to 1 .8.
01:05
8th observation.
01:10
In the ascending ordered data set, the first observation is 16 plus 0 .8 into second minus first observation, that is 22 minus 16, which is equal to 20 .8.
01:32
Therefore, 20th percentile is 20 .8...