A sample has n = 7 scores with a mean of M = 9.If one individual with a score of
X = 3 is removed from the sample,the new mean will be M = 10.

Question

Quizplus · Accepted Answer

We can use the formula for the mean to solve for the sum of the remaining scores in the sample after the score of X = 3 is removed:
M = (ΣX) / n 
9 = (ΣX) / 7 
ΣX = 63

If X = 3 is removed:
M = (ΣX - 3) / (n - 1) 
10 = (63 - 3) / 6 
10 = 10

Therefore, removing the score of X = 3 results in a new mean of M = 10, making the statement true.

A Sample Has N = 7 Scores with a Mean