Question

The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers?

Answer 1

Meanof the six numbers is `" "270/6 = 45`

Explanation:

There are 3 different sets of numbers involved here.
A set of six, a set of two and the set of all eight.

Each set has its own mean.

`"mean" = "Total"/"number of numbers"" "` OR `M = T/N`

Note that if you know the mean and how many numbers there are, you can find the total.

`T=M xxN`

You can add numbers, you can add totals, but you may not add means together.

So, for all eight numbers: The total is `8 xx 41 = 328`

For two of the numbers: The total is `2xx29 = 58`

Therefore the total of the other six numbers is `328-58 = 270`

The mean of the six numbers `=270/6 = 45`