The formulas for calculating standard deviation in Excel depend on whether you're working with a sample or an entire population. Here's a breakdown:
-
For a Sample:
=STDEV.S(number1, [number2], ...)
or=STDEV(number1, [number2], ...)
in older versions of Excel. Use this when your data represents a subset of a larger population. -
For a Population:
=STDEV.P(number1, [number2], ...)
Use this when your data represents the entire population you're interested in.
Explanation
Excel provides two primary functions for calculating standard deviation: STDEV.S
and STDEV.P
. The key difference lies in their application:
-
STDEV.S (Sample Standard Deviation): This formula calculates the standard deviation based on a sample of the population. It divides by n-1 (where n is the number of values) in the calculation, providing an unbiased estimate of the population standard deviation. This is the more commonly used formula.
-
STDEV.P (Population Standard Deviation): This formula calculates the standard deviation based on the entire population. It divides by n in the calculation. Use this only when you have data for the entire population.
How to Use the Formulas
- Select a Cell: Click on the cell where you want the result to appear.
- Enter the Formula:
- For a sample, type
=STDEV.S( )
- For a population, type
=STDEV.P( )
- For a sample, type
- Input the Data: Inside the parentheses, enter the numbers or cell ranges containing the data. You can:
- Type the numbers separated by commas:
=STDEV.S(1,2,3,4,5)
- Enter a cell range:
=STDEV.S(A1:A10)
(This calculates the standard deviation of the values in cells A1 through A10).
- Type the numbers separated by commas:
Examples
=STDEV.S(2,4,6,8,10)
would calculate the sample standard deviation of the numbers 2, 4, 6, 8, and 10.=STDEV.P(B1:B20)
would calculate the population standard deviation of the data in cells B1 to B20.=STDEV.S(A1:A5, C1:C5)
would calculate the sample standard deviation using the data from cells A1 through A5 and C1 through C5.
Important Considerations
- Blank Cells and Text: Excel ignores blank cells and text values when calculating standard deviation.
- Choosing the Right Formula: Selecting the appropriate formula (STDEV.S vs. STDEV.P) is crucial for accurate results. Use STDEV.S most of the time.