Question

What is the value of the 90th percentile for the data set?7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 617201812

Answer 1

Given:

7, 12, 3 , 14, 17, 20, 5, 3, 17, 4, 13, 2, 15, 9, 15, 18, 16, 9, 1, 6.

Aim:

We need to find the 90th percentile for the data set

Step-by-step explanation:

Arrange the data in ascending order.

1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20.

There are 20 terms in the data set.

The 90th percentile of a data set is the data value that appeared in the 90th position after the dataset has been divided into 100 equal parts.

`90\text{ \% of 20 = }(90)/(100)*20`

`90\text{ \% of 20 = }18\text{ th term.}`

18 th term from eh ascending ordered data set is 17.

Final answer:

90th percentile for the data set is 17.