Question

Below are 36 sorted ages of an acting award winner. Find P80.

20, 22, 22, 24, 25, 28, 28, 29, 29, 30, 34, 35, 35, 36, 37, 39, 44, 48, 49, 51, 51, 51, 54, 56, 57, 58, 63, 66, 67, 72, 72, 74 , 76, 77, 79, 80

Answer 1

The correct answer is:

1/36.

Step-by-step explanation:

To find the experimental probability of an event, you use the following ratio:

(# of ways the event can occur)/(total number of events).

In this list, there is only one value that is 80. This means the value 80 can occur only one way.

There are 36 numbers in this list. This means that the total number of events is 36.

This gives us the probability P(80) = 1/36.

Answer 2

P80 = 36 * 0.80 = 28.8

The above equation shows that the 80th percentile will have 28.8 values below it. So obtaining the 29th value will be the 80th percentile.

Looking at the given values, P80 = 67.