What are the standard deviations of {1, 2, 3, 4, 5, 6, 7} and {10, 20, 30, 40, 50, 60, 70}?
1 Answer
Set 1:
Explanation:
Which Standard Deviation values you get depends upon whether the data is taken to be the entire population or just a sample from the population.
A mathematics calculator or a spreadsheet can be used to provide these standard deviation values directly.
Continue beyond this point only if you want/need to be able to do these calculations by hand:
 Find the *mean of the data values (sum divided by number of data values)
#""#  For each data value

 Calculate the difference between the data value and the mean

 Square the difference
 If the data values are the entire population

 Calculate the population variance (
#sigma_("pop")^2# ) as the sum of the squared differences divided by the number of data values.
 Calculate the population variance (

 Calculate the population standard deviation(
#sigma_("pop")# ) as the primary square root of the population variance.
 Calculate the population standard deviation(
 If the data values are a sample from the population

 Calculate the sample variance (
#sigma_("sample")^2# ) as the sum of the squared differences divided by 1 less than the number of data values.
 Calculate the sample variance (

 Calculate the sample standard deviation(
#sigma_("sample")# ) as the primary square root of the population variance.
 Calculate the sample standard deviation(