Question

Help please I do not understand thank you

Answer 1

Explanation:

4, 7, 14, 24, 28, 43, 46, 53, 58, 59, 60, 62, 63, 66, 67, 76, 81, 86, 88, 89

This list is already arranged in ascending order.

Usually, under this topic, you will be given a percentile and asked to find the number which is at that percentile, or you might also be asked to find the percentile of a number.

Example:

i. Find the number which is the 75th percentile

ii. What is the percentile of the number 58?

In this case, you have the first type.

Case I:

First question, you are asked to find the 25th percentile.

1. Arrange the numbers in ascending order. They are already arranged, so proceed.
2. Next, resolve 25th percentile as 25/100 = 0.25.
3. Multiply 0.25 by the number of values in the dataset (20 in this case). 0.25 x 20 = 5
4. Count to the 5th number, starting from the beginning.
5. 28 is 5th number; 28 is the 25% percentile.

Case II:

Now, assuming you are given a value and asked to find it's percentile.

Simply find out how many values in the entire list are less than that number, divide the result by the total number of values in the list, and then multiply by 100.

Say, what is the percentile for 58?

There are eight values less than 58.

There are twenty values in the list.

(8/20) x 100 = 40

Therefore, 58 is in the 40th percentile.