00:01
Hello students, in this question we have given the sample data of 8 observations.
00:05
Then by using that we have to compute 21st, 26th, 58th, then 68th percentiles.
00:12
So for that first we need to arrange, arrange the given data in an ascending order, in an ascending order, that is first observation is 15, then 20, 25, 25, 27, 28, 30 and 34.
00:43
That is we have total number of observations are 8.
00:47
Now the formula for the ith percentile, that is p i is equal to i into n plus 1 divided by 100th observation.
00:59
So now first we have to compute 21st percentile, that is i is equal to 21.
01:08
So p 21 is equal to 21 into 8 plus 1 divided by 100 observation, which is equal to, so this is 1 .89th observation and now this is equal to first observation plus 0 .89 into bracket second observation minus first observation.
01:36
Now after arranging the data in the ascending order, we have the first observation is 15 plus 0 .89, second observation is 20 minus 15 and this is equal to 19 .45.
01:53
So 21st percentile is 19 .45...