Explanation:
To figure out the variance, subtract 82.5 from the mean, which is 5.5 and then divide by N, which is the value of numbers, (in this case 10) minus 1. The result is a variance of about 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.Calculate the mean.
Subtract the mean from each observation.
Square each of the resulting observations.
Add these squared results together.
Divide this total by the number of observations (variance, S2).
Use the positive square root (standard deviation, S).