Question

Standard deviation for: 16, 17, 18, 29?

Answer 1

Answer: Standard deviation 6.0553

Step-by-step explanation:

Mean = sum of values / N (number of values in set)

=(16+17+18+29)/4

=80/4

Mean is 20

Variance = (
`(n_(1) -Mean)^(2) )+.... (n_(n) -Mean^(2) )`) / N-1 (number of values in set - 1)

=(
`(16-20)^(2)`+
`(17-20)^(2)`+
`(18-20)^(2) +(29-20)^(2)`)/3

=36.66667

Variance for standard deviation is 36.66667

Standard Deviation σ = √Variance

=
`√(36.66667)`

=6.0553

Standard Deviation σ= 6.0553