A population has a mean of µ = 30. If 3 points are added to each score, what is the mean for the new distribution?

Answer 1

If the average of a population of size N is µ, then the SUM of the values is Nµ. Now if we add 3 to each value and there are N values, we will be adding 3N to that sum and our grand total will be Nµ + 3N. Now we can calculate our new population average, µ_{N =} (Nµ + 3N)/N = µ + 3 = 33. That's the algebra for that problem.

Answer 2

33 so because 3 is added to each score the average add is 3 therefore making the new mean 33