## Question 691:

1## Answer:

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To calculate the population standard deviation on a set of numbers we use the following procedure:- Add up all the values 6+7+8+9+10 = 40
- Count the number of values = 5
- Divide the Sum by the the total number of values = 40/5 = 8
- Subtract each value from the mean. Then Square that result : (6-8)
^{2}+(7-8)^{2}+(8-8)^{2}+(9-8)^{2}+(10-8)^{2}= 10 - Divide the Sum of Squared Deviations by n (this is the variance) = 10/5 = 2.
- Take the square root of the variance and this is the standard deviation = SQRT(2) = 1.414214

For more information, such as the difference between the population and sample standard deviation, see the Standard Deviation Tutorial

I've also attached the calculations in an excel file, with the Excel formula =STDEV() which calculates the sample standard deviation.