Question

Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 34 using the method presented in the textbook. 17 19 22 27 28 31 32 32 33 34 37 38 38 39 40 41 42 47 48 49 52 52 52 53 57 58 58 59 60 60 61 64 64 71 71 76 percentile of value 34equals nothing ​(Round to the nearest integer as​ needed.)

Answer 1

Answer:

The percentile for age 34, is 28th.

Step-by-step explanation:

First, you have to order the data set:

• A = {17, 19, 22, 27, 28, 31, 32, 32, 33, 34, 37, 38, 38, 39, 40, 41, 42, 47, 48, 49, 52, 52, 52, 53, 57, 58, 58, 59, 60, 60, 61, 64, 64, 71, 71, 76}

Now, you have to count the position of 34 in the orded data set:

• Position of 34: 10.

• Total of elements in the data set is 36.

Now, to find the percentile of 34, you have to divide the position of the value with the total elements and then, multiply by 100.

$percentile_3_4 = \frac{10}{36} \cdot100 = 27.7 = 28$

The percentile of 34 for this data set is 28th, this means that if the data set would have 100 values, 34 would be greater than 28% of the values, lesser than 72% of the values.