Question

What is the variance of {12, 6, -2, 9, 5, -1}?

Answer 1

Variance is `25.14`

Explanation:

Data ; `D= {12, 6 ,-2, 9 , 5 ,-1}`

Variance `(sigma^2)` is the average of squared difference from mean.

Mean is `(sumD)/6 =29/6 ~~ 4.83(2dp)`

`sigma^2 =`
`{( 12-4.83)^2 + ( 6-4.83)^2 + ( -2-4.83)^2 + ( 9-4.83)^2+ ( 5-4.83)^2+ ( -1 -4.83)^2}/6 =150.83/6 ~~ 25.14(2dp)`

Variance is `25.14` [Ans]