METHODS OF DATA ANALYSIS
MEASURES OF DISPERSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If a number is added to the set that is near the mean, how does this affect standard deviation?
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increase
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decrease
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stay the same
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both increase and decrease
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Explanation:
Detailed explanation-1: -(b) Adding a number to the set such that the number is very close to the mean generally reduces the SD.
Detailed explanation-2: -What happens to the standard deviation if the mean increases? The standard deviation is a measure of the average variation from the mean so changing the mean has no effect on the standard deviation.
Detailed explanation-3: -The standard deviation is a measure of “spread", i.e. how far values vary from the mean. Adding the same fixed number to each output changes the “location” of each data point, but it doesn’t change the spread.
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