A researcher computed the mean, the median and the standard deviation for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?  

A      The mean only

B    The median only

C    The standard deviation only

D    The mean and the median

Solution

Correct Answer: Option D

 

If we add or subtract a constant to each term in a set the standard deviation will not change.. If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.

 

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