NDA2020MathematicsStatisticsActual
What is the standard deviation of the observations - 6 ,- 5 ,- 4 ,-1,1, 4 , 5 , 6 ?
Options
- A2
- B2
- C2 2
- D4
Correct answer
B. 2
Step-by-step solution
Standard deviation = (x- x )^2 N Given data: - 6 ,- 5 ,- 4 ,-1,1, 4 , 5 , 6 . x = Sum of datas Number of data =0 aligned & (x- x )^2=(- 6 -0)^2+(- 5 -0)^2+(- 4 -0)^2+ & (-1-0)^2+(1-0)^2+( 4 -0)^2+( 5 -0)^2+( 6 -0)^2 & =6+5+4+1+1+4+5+6=32 & S.D. = (x- x )^2 N = 32 8 = 4 =2 aligned