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
![S=-54+(-32)+(-70)+(-25)+(-65)+(-42)=-288](https://tex.z-dn.net/?f=S%3D-54%2B%28-32%29%2B%28-70%29%2B%28-25%29%2B%28-65%29%2B%28-42%29%3D-288)
and the number of integers is
![n=6.](https://tex.z-dn.net/?f=n%3D6.)
Therefore, the mean of the given integers is
![m=\dfrac{S}{n}=\dfrac{-288}{6}=--48.](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BS%7D%7Bn%7D%3D%5Cdfrac%7B-288%7D%7B6%7D%3D--48.)
Thus, the required mean is -48.