Question

Consider the following data set with 20 scores { 23 15 16 15 25 14 14 18 26 23 25 24 14 25 29 15 24 29 21 19}. How many scores are below or equal to the 60th percentile?

Answer 1

60th percentile = 23.5

Explanation:

Put numbers in order from lowest to highest:

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

Formula:

60th percentile = 60% x Total number of elements

We have 20 scores,

60th percentile = 60% x 20

= 0.60 x 20

= 12

the 60th percentile is the 12th number on the list

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

The 60th percentile is between 23 and 24

23 + 24 / 2 = 23.5