Question

The mean of 6 numbers is 12.

The numbers are in the ratio 1 : 1 : 1 : 1 : 2 : 3.
Find the range.

Answer 1

range = 16

Explanation:

The total of all the numbers = mean x number of values = 6 x 12 = 72

The ratio of the numbers is

1: 1: 1: 1:2 :3

The sum of the ratios is 9

So the numbers in the ratio of 1 must be 1/9 x 72 = 8

The number with a ratio of 2 must be 2 x 8 = 16

and finally the number with the ratio of 3 = 3 x = 24

The range of the numbers is 24-8 = 16