A sample has a mean of M = 86.If one new person is added to the sample,and ΣX is unchanged,what effect will the addition have on the sample mean?
A)The sample mean will increase a little.
B)The sample mean will decrease.
C)The sample mean will remain the same.
D)The sample mean will increase substantially.

Question

A sample has a mean of M = 86.If one new person is added to the sample,and ΣX is unchanged,what effect will the addition have on the sample mean?​
A)​The sample mean will increase a little.
B)​The sample mean will decrease.
C)​The sample mean will remain the same.
D)​The sample mean will increase substantially.

Quizplus · Accepted Answer

If ΣX is unchanged and a new person is added, the total number of data points increases while the sum remains the same, leading to a decrease in the mean.

A Sample Has a Mean of M = 86