Question

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.
15, 7, 17, 14, 15
(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 17, 9, 19, 16, 17. Compute s. (Enter your answer to one decimal place.)

Answer 1

a. mean=(15+7+17+14+15)/5=13.6

s=√[(15-13.6)^2+..+(15-13.6)^2]/(5-1)=3.847077

b. mean=(17+9+19+16+17)/5=15.6

s=√[(17-15.6)^2+..+(1715.6)^2]/(5-1)=3.847077