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 = ([tex](n_{1} -Mean)^{2} )+.... (n_{n} -Mean^{2} )[/tex]) / N-1 (number of values in set - 1)
=([tex](16-20)^{2}[/tex]+[tex](17-20)^{2}[/tex]+[tex](18-20)^{2} +(29-20)^{2}[/tex])/3
=36.66667
Variance for standard deviation is 36.66667
Standard Deviation σ = √Variance
=[tex]\sqrt{36.66667}[/tex]
=6.0553
Standard Deviation σ= 6.0553