The given sample data is
x = [66.1,77.1,74.6,61.8,71.5]
The sample size is n = 5.
Calculate the mean value.
m = (66.1+77.1+74.6+61.8+71.5)/5 = 70.22
Calculate the array (x - m).
x-m = [-4.12, 6.88, 4.38, -8.42, 1.28]
Calculate (x-m)².
(x-m)² = [16.9744, 47.3344, 19.1844, 70.8964, 1.6384]
Calculate the standard deviation
[tex] s= \sqrt{ \frac{\sum(x-m)^{2}}{n-1} } = \sqrt{ \frac{156.028}{4} } =6.2456[/tex]
Answer: The standard deviation is 6.25 (to 2 decimal places)
