Question

The mean of a set of six numbers is 4.5. If the mean of two of the numbers is 5.5, find the mean of the remaining four numbers? Show your work.

Answer 1

4

Explanation:

Mean is found by taking the sum of the values and dividing by the count.

When looking at all 6 numbers, the mean is:

`4.5="sum of 6 values"/6=>"sum of 6 values"=27`

When looking at the 2 values with a mean of 5.5:

`5.5="sum of 2 values"/2=>"sum of 2 values"=11`

Which means the mean of the 4 values is:

`"mean"=(27-11)/4=16/4=4`