Question

There are three numbers with arithmetic mean 3 and two numbers with sum 26. Find the arithmetic mean of these five numbers. ?

Answer 1

The arithmetic mean of the five numbers would be `7`

Explanation:

The `color(green)3` numbers with an arithmetic mean of `color(magenta)3` will have a sum of `color(green)3 xx color(magenta)3=9`

If these 3 numbers are combined with 2 more whose sum is `color(blue)(26)`,
the sum of all 5 numbers will be `color(magenta)9+color(blue)(26)=color(red)(35)`

and the arithmetic mean of these `color(brown)5` numbers will be `color(red)(35)/color(brown)5=7`