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?

Question

Laura Buck

Mathematics

10 November, 14:54

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?

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Answers (2)

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Livia Shah · Answer 1

standard deviation will remain unchanged at 3.5

Step-by-step 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

Cailyn Parks · Answer 2

standard deviation of the resulting data will be 3.5

Step-by-step 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.