Question

If 10 were added to each of the values in a data set that originally had a

standard deviation of 6, the standard deviation of the resulting data would be
6.
O A. True
OB. False
SUDA

Answer 1

Answer: True

Explanation:

Since the variance value in the standard deviation formula will not change, the standard deviation will not change. This assumption is only valid if we increase or decrease each value by the same amount.

But, this is not necessarily true for mean. If 10 is added to each value in a data set, the mean of the data set will be shifted by 10, but the standard deviation will remain unchanged. In other words, if the original data set had a standard deviation of 6, the resulting data set will also have a standard deviation of 6.