Can someone verify this problem is done correct

The parole board is alarmed by the low number of years actually spent in prison for those inmates sentences to 15-year sentences. To help them make parole recommendations they gather data on the number of years served for a small sample of 7 (seven) potential parolees. The number of years served for these seven parolees is as follows:

4

        2

        3

        6

        3

        3

         8

= 29/7 = 4.14

        What is the standard deviation for this distribution? (4 points)

        X                       (x-Mean)            

        2                       (2-4.14) = -2.14      = 4.57

        3                       (3-4.14) = -1.14       = 1.29   

        3                       (3-4.14) = -1.14       = 1.29

        3                       (3-4.14) = -1.14       = 1.29

        4                       (4-4.14) = -.14        = .019          

        6                       (6-4.14) = 1.86      = 3.45

        8                       (8-4.14) = 3.86        = 14.89

       29                                           = -1.12                             = 26.78

                         S =  26.78 / 7 =   3.82 = 1.95

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