# Question #3ef43

Jul 20, 2017

New mean $= 94.3$

#### Explanation:

The formula to calculate mean is:

$\text{Mean" = "Total of values"/"number of values" " } M = \frac{T}{N}$

This means we also have the formulae

$T = M \times N \mathmr{and} N = \frac{T}{M}$

If the mean of 6 tests was $95$, then the total was:

$T = 90 \times 6 = 570$

If the student writes another test, the total will increase and the number of tests increases.

New total$= 570 + 90 = 660$

New number $= 6 + 1 = 7$

We expect the new mean to be lower, because the last test score was less than the average for the first $6$.

$M e a n = \frac{660}{7} = 94.2857$

$M e a n = 94.3$