Question

Can someone help me with percentiles please?

Answer 1

See a solution process below:

Explanation:

First, sort the set of numbers from lowest to highest:

100, 100, 105, 113, 129, 132, 146, 152, 176, 200

There are 10 numbers in the set.

30th Percentile: To find the 30th percentile, multiply the number of items in the set (for this problem 10) by 30% to give:

`30% xx 10 = 30/100 xx 10 = 300/100 = 3`

Counting from left to right, the third number in the set is `color(red)(105)`

Therefore, the 30th percentile is: `color(red)(105)`

90th Percentile: To find the 90th percentile, multiply the number of items in the set (for this problem 10) by 90% to give:

`90% xx 10 = 90/100 xx 10 = 900/100 = 9`

Counting from left to right, the ninth number in the set is `color(red)(176)`

Therefore, the 90th percentile is: `color(red)(176)`