Answer: The required mean is -48.
Step-by-step explanation: We are given to find the mean of the following integers :
-54, -32, -70, -25, -65, -42
We know that
the mean of a set of integers is equal to the sum of the integers divided by the number of integers.
Here, the sum of the integers is given by
[tex]S=-54+(-32)+(-70)+(-25)+(-65)+(-42)=-288[/tex]
and the number of integers is
[tex]n=6.[/tex]
Therefore, the mean of the given integers is
[tex]m=\dfrac{S}{n}=\dfrac{-288}{6}=--48.[/tex]
Thus, the required mean is -48.