Answer:
Sample standard deviation = 5.75
Step-by-step explanation:
Consider X = 56, 65, 62, 53, 68, 58, 65, 52, 56
The formula to calculate the sample standard deviation is:
[tex]s=\sqrt{\frac{\sum(X-\bar X)^{2} }{n-1} }[/tex]
To compute the sample standard deviation, sample mean is required which can be calculated as:
[tex]\bar X=\frac{\sum(X)}{n} =\frac{56+65+....+56}{9} = 59.44[/tex]
Thus, the sample standard deviation can be calculated as:[tex]s=\sqrt{\frac{((56-59.44)^2+(65-59.44)^{2}+...+(56-59.44)^2 )}{9-1} } = 5.75[/tex]
Hence, the sample standard deviation is 5.75.
