How To Calculate Standard Deviation?

To calculate the standard deviation of a set of numbers, you can use the following steps:

1. Calculate the mean of the set of numbers.
2. Calculate the difference between each number and the mean.
3. Square each of these differences.
4. Add up all of the squared differences.
5. Divide the sum by the number of items in the set.
6. Take the square root of the result.

Here is an example:

Suppose you have the following set of numbers: 1, 2, 3, 4, 5

1. The mean of this set is (1 + 2 + 3 + 4 + 5) / 5 = 3
2. The differences between the mean and each number are -2, -1, 0, 1, 2
3. The squared differences are 4, 1, 0, 1, 4
4. The sum of the squared differences is 10
5. The mean of the squared differences is 10 / 5 = 2
6. The square root of 2 is 1.4142135623730951

Therefore, the standard deviation of this set of numbers is 1.4142135623730951.