A sample of n = 4 scores has a mean of M = 8.If one new score with a value of X = 3 is added to the sample,what will be the value for the new mean?
A)M = 7.0
B)M = 8.0
C)M = 8.8
D)M=11.0

Question

A sample of n = 4 scores has a mean of M = 8.If one new score with a value of X = 3 is added to the sample,what will be the value for the new mean?​
A)​M = 7.0
B)​M = 8.0
C)​M = 8.8
D)​M=11.0

Quizplus · Accepted Answer

To find the new mean, we need to add the new score to the original sum and divide by the new sample size. The original sum is:
sum = n * M = 4 * 8 = 32
The new sum is:
new_sum = sum + X = 32 + 3 = 35
The new sample size is n + 1 = 5
Therefore, the new mean is:
new_mean = new_sum / (n + 1) = 35 / 5 = 7.0
Thus, the best choice is A) M = 7.0.

A Sample of N = 4 Scores Has a Mean