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?

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Answer 1 · 2017-02-11T19:49:39

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

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#