A sample of n = 7 scores has a mean of M = 16. One
score in the sample is changed from X = 6 to X = 20.
What is the value for the new sample mean?
Find the new sample mean when one score in the sample is changed from to .
When one score in the sample is changed from to , the new sum can be calculated by subtracting 6 and adding 20 to the old sum. The mean is the average of scores. To find mean, divide the sum by number of scores in the sample. Therefore:
In this problem, we want to find . So, multiply Equation (1) by n both sides.
and . One score in the sample is changed from to .
First find the sum of scores for original data
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