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.

4, 13, 5, 14, 10
(a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.)

(b) Add 3 to each data value to get the new data set 7, 16, 8, 17, 13. Compute s. (Enter your answer to one decimal place.)

a) s = 4.6

b) s = 4.6

Step-by-step explanation:

We are given the following in he question:

a) 4, 13, 5, 14, 10

We have to calculate sample standard deviation.

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 82.8

b) Adding three to each observation

7, 16, 8, 17, 13

Sum of squares of differences = 82.8

Thus, the two standard deviation are same.

the correct answer to your question is a. 4^4

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