Question

Which data set has the same standard deviation as the data set {3, 2, 5, 6, 8}?

Answer 1

We have the following:

If we look closely, there is a data set that is the same, but they add 1 to each number in the data set, it looks like this

$\lbrace3+1,2+1,5+1,6+1,8+1\rbrace=\lbrace4,3,6,7,9\rbrace$

these data will have the same standard deviation, since the increase was equal in each data (+1)

Which means that the answer is the last option