If a number is added to a data set which is far away from the arithmetic mean, then
what happens to the standard deviation?
(A) Increases
(B) Decreases
(C) Does not change
(D) May increase or decrease
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Answer:
A) Increases
Explanation:
Adding a number to the set such that the number is further away from the mean, will increase the SD. This is because the average distance of the numbers from the mean increases. ... Common Formula: SD = Square Root of the difference of the mean of the numbers and the square of the mean of the numbers.
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