# How To Calculate A Sigma Value

A sigma value is a statistical term otherwise known as a standard deviation. Determining the standard deviation of a set of values helps a statistician or researcher to determine if the data set is significantly different than a control set. Sigma is a measurement of variability, which is defined by the Investor Words website as "the range of possible outcomes of a given situation."

### Step 1

Add a set of data and divide by the number of values in the set to find the mean. For instance, consider the following values: 10, 12, 8, 9, 6. Add them to get a total of 45. Divide 45 by 5 to get a mean of 9.

### Step 2

Subtract the mean from each individual value. In this example, you would perform the following operations: 10 – 9 = 1 12 – 9 = 3 8 – 9 = -1 9 – 9 = 0 6 – 9 = -3

### Step 3

Square each answer from step two.

In this example: 1 x 1 = 1 3 x 3 = 9 -1 x -1 = 1 0 x 0 = 0 -3 x -3 = 9

### Step 4

Add your answers from step three. For this example, add 1, 9, 1, 0 and 9 to get a total of 20.

### Step 5

Subtract one from the sample size. The sample size here is 5, so 5 – 1 = 4.

### Step 6

Divide the total from step four by your answer from Step 5. Therefore, you would divide 20 by 4 to get 5.

### Step 7

Take the square root of your answer from step six to find the sigma value or standard deviation. For this example, you would take the square root of 5 to find a sigma value of 2.236.

### Cite This Article

#### MLA

Johnson, Charlotte. "How To Calculate A Sigma Value" *sciencing.com*, https://www.sciencing.com/calculate-sigma-value-7214664/. 13 March 2018.

#### APA

Johnson, Charlotte. (2018, March 13). How To Calculate A Sigma Value. *sciencing.com*. Retrieved from https://www.sciencing.com/calculate-sigma-value-7214664/

#### Chicago

Johnson, Charlotte. How To Calculate A Sigma Value last modified March 24, 2022. https://www.sciencing.com/calculate-sigma-value-7214664/