Question

Suppose that 2 were subtracted from each of the values in a data set that originally had a standard deviation of 3.5. What would be the standard deviation of the resulting data?

Answer 1

standard deviation of the resulting data will be 3.5

Explanation:

When we add or subtract each values of the data set by some constant then the mean will change by the same amount whereas the there is no change in the standard deviation.

So, when we subtract 2 from each values of the data set, the standard deviation of the resulting data will be also 3.5.

Answer 2

standard deviation will remain unchanged at 3.5

Explanation:

Subtracting 2 from each of the values in the data set will only change the origin of the data set. The mean of the values will change but the variance and consequently the standard deviation will remain unchanged