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Question

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
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B
The median only
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C
The standard deviation only
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D
The mean and the median
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E
The mean and the standard deviation
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Solution

The correct option is E The mean and the median
If 5 were added to each score, the mean would go up by 5, as would the median. However, the spread of the values would remain the same, simply centered around a new value. So, the standard deviation would NOT change
The correct answer is D.

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