# Question: in this problem we explore the effect on the standard...

###### Question details

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.

9, 17, 10, 15, 6

(a) Use the defining formula, the computation formula, or a
calculator to compute *s*. (Enter your answer to one decimal
place.)

(b) Add 2 to each data value to get the new data set 11, 19, 12,
17, 8. Compute *s*. (Enter your answer to one decimal
place.)

(c) Compare the results of parts (a) and (b). In general, how do
you think the standard deviation of a data set changes if the same
constant is added to each data value?

Adding the same constant *c* to each data value results
in the standard deviation remaining the same.Adding the same
constant *c* to each data value results in the standard
deviation increasing by *c*
units. Adding the same constant
*c* to each data value results in the standard deviation
decreasing by *c* units.There is no distinct pattern when
the same constant is added to each data value in a set.