X 13 10 8 9 6 s2 SXX 2 N1 Question 10 options 92 268 258

X :    13, 10, 8, 9, 6

        _                            

s^{2 =} S(X-X) ²   =                   

          N-1

Question 10 options:

9.2

26.8

2.588

6.7

Solution

X-bar = ( 13 + 10 + 8 + 9+ 6)/5 = 9.2

Sigma(Xi -X-bar)^2 = (13-9.2)^2 + (10-9.2)^2+(8-9.2)^2 + (9-9.2)^2+(6-9.2)^2 = 26.8

Sigma(Xi -X-bar)^2 / (N-1) = 26.8/4 = 6.7 Answer Option D