Question

The mean of 5 numbers is 6.

The numbers are in the ratio 1 : 3 : 3 : 4 : 4.
Find the numbers.​

Answer 1

2, 6, 6, 8, 8

Explanation:

The mean is calculated as

mean =
`(sum)/(count)`, thus

`(sum)/(5)` = 6 ( multiply both sides by 5 )

sum = 30

sum the parts of the ratio, 1 + 3 + 3 + 4 + 4 = 15 parts

30 ÷ 15 = 2 ← value of 1 part of the ratio, thus

3 parts = 3 × 2 = 6

4 parts = 4 × 2 = 8

Thus the 5 numbers are

2, 6, 6, 8, 8

Answer 2

2, 6, 6, 8, 8

Explanation:

First, we know that the mean is the sum of the number divided by the amount, so if we take the answer we have, 6, and multiply that by the amount of number, 5, then we get 30.

Now we add the numbers in the ratio, so 1 + 3 + 3 + 4 + 4 = 15

15 x 2 = 30

This means we need multiply the numbers in the ratio by 2 to get

2 + 6 + 6 + 8 + 8 = 30