Answer:
Step-by-step explanation:
If the mean (average) of a set of numbers increases by a certain amount, the sum of the numbers will increase by the product of the increased mean and the total number of values.
In this case, if the mean of the 6 numbers increases by 3, the sum of the 6 numbers would have to increase by:
Increase in sum
=
Increased mean
×
Number of values
Increase in sum=Increased mean×Number of values
Increase in sum
=
3
×
6
Increase in sum=3×6
Increase in sum
=
18
Increase in sum=18
So, the sum of the 6 numbers would have to increase by 18.