00:01
First, sort the given data.
00:03
The sorted data is 15, 20, 25, 25, 27, 28, 30 and 34.
00:15
We have to give ranks to the observations from ascending order, like 1, 2, 3, 5, 6, 7, 8.
00:28
The total number of observations are n equal to 8.
00:34
The formula for pth percentile is lp equal to n plus 1 into p by 100 term.
00:49
Thus the 19th percentile can be calculated as follows.
00:54
L19 equal to 8 plus 1 into 9 divided by 100, which is equal to 1.
01:02
1 .71.
01:04
Here the integer value is 1 and decimal value is 0 .71.
01:13
The percentile is in between 15 and 20 values.
01:18
So the 19th percentile is the first value is 15 plus the decimal value is 0 .71 into the distance between first value and second value.
01:33
That is 20 minus 15 equal to 15 plus 0 .71 into 5, which is 18 .55.
01:48
Thus, 19th percentile of the data is 18 .55...