00:01
In this problem, we have been given data, 20 beta points, and we need to use that to compute the 20th and 35th percentiles.
00:09
Now, when we want to compute percentages, the first thing we need to do is arrange the data in ascending order.
00:16
So if we arrange the given beta in ascending order, it will be like this.
00:21
We have two zeros, then we have five ones, then we have one -two, number, of three's five, then we have two fours, we have two fives, we have two sixes, and then we have a seven.
00:53
So if we count it, we can see one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, nineteen, twenty.
01:06
So you can see that we have all twenty data points and they are arranged from small, two largest.
01:12
So they are arranged in ascending order.
01:14
Next we need to find the 20th percentile.
01:17
So the 20th percentile will be the 20 by 100 times the 20th observation.
01:26
Because it is percentile, we have 20 by 100.
01:30
And we multiply that with the total number of data points.
01:32
And the total number of data points is 20.
01:34
So we multiply it for 20.
01:36
So if we cancel this out, this will be 1 by 5...