A sample has n = 7 scores with a mean of M = 7.If one individual with a score of X = 1 is removed from the sample,the new mean will be M = 8.

Question

A sample has n = 7 scores with a mean of M = 7.If one individual with a score of X = 1 is removed from the sample,the new mean will be M = 8.​

Quizplus · Accepted Answer

The mean is the sum of all scores divided by the number of scores. If one individual with a score of 1 is removed from the sample, the sum of all scores will decrease by 1. The number of scores will also decrease by 1. Therefore, the mean will increase by 1 / (n - 1) = 1 / 6 = 0.1667. The new mean will be 7 + 0.1667 = 8.

A Sample Has N = 7 Scores with a Mean