Question

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

Answer 1

Answer: Standard deviation 6.0553

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

=$\sqrt{36.66667}$

=6.0553

Standard Deviation σ= 6.0553