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...

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