Formula and calculation method
Mean = Σx/n. Population standard deviation = √[Σ(x−mean)²/n]. Sample standard deviation uses n−1. Median is the middle sorted value.
Population and sample standard deviations are reported separately. Every repeated value tied for the highest frequency is included in the mode.
How to use average calculator
- Set Numbers separated by commas. The example below uses 2, 4, 4, 4, 5, 5, 7, 9.
- Select Calculate to update the result. Reset restores the illustrated inputs. Copy, print or download your own result if you need a record.
Worked example
Example inputs
- Numbers separated by commas
- 2, 4, 4, 4, 5, 5, 7, 9
- Count
- 8
- Sum
- 40
- Mean
- 5
- Median
- 4.5
- Minimum
- 2
- Maximum
- 9
- Range
- 7
- Population standard deviation
- 2
- Sample standard deviation
- 2.13808994
- Mode
- 4
Factors affecting your result
Population and sample standard deviations are reported separately. Every repeated value tied for the highest frequency is included in the mode.
Changing numbers separated by commas changes the scenario being evaluated. Adjust one input at a time when comparing results, keep a copy of the assumptions, and compare values using the same unit and period. A precise arithmetic result does not make an uncertain assumption precise.
Frequently asked questions
How does the average calculator work?
Mean = Σx/n. Population standard deviation = √[Σ(x−mean)²/n]. Sample standard deviation uses n−1. Median is the middle sorted value.
What inputs does Average Calculator need?
Enter numbers separated by commas. Choose values that correspond to the same situation and measurement convention.
How should I interpret the average calculator result?
Population and sample standard deviations are reported separately. Every repeated value tied for the highest frequency is included in the mode.
Are my average calculator inputs uploaded?
No. The calculation runs in this browser. Favorites, recent tool names, theme and formatting preferences may be saved locally, but calculation inputs are not sent to a calculation server or stored by this website. Shared links do not include entered values.
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