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