Mean, Median, Mode & Std Dev Guide: Formula & Worked Example
Short answer
Full statistics for a list of numbers. In the fixed example below, mean (average) is 22.142857. Your answer depends on the inputs and assumptions you choose.
Formula
Result = Mean, Median, Mode & Std Dev calculation using numbers (separate by comma or space)
The inputs are numbers (separate by comma or space). Use the input scale shown beside each field and keep time periods and units consistent. Only round the final result for display.
Worked example
- Numbers (separate by comma or space)
- 10, 2, 38, 23, 38, 23, 21
- Mean (average): 22.142857
- Median: 23
- Mode: 38, 23
- Range: 36
- Sample std deviation: 13.284434
- Population std deviation: 12.298996
- Sum / Count: 155 / 7
- Min / Max: 2 / 38
Understanding the result
Full statistics for a list of numbers. Start with the base example, then replace each value with the figure that matches your situation.
Numbers (separate by comma or space)
The example uses 10, 2, 38, 23, 38, 23, 21 for numbers (separate by comma or space). This is an illustration, not a recommended value. Keep the unit and time period shown by the field.
What the comparison means
The base scenario lists the selected inputs and their resulting output. Change the selections in the calculator to compare another scenario.
Check units, date boundaries and rounding before using the answer in a report or a practical measurement.
Comparison
| Scenario | Input | Result |
|---|---|---|
| Base example | Numbers (separate by comma or space): 10, 2, 38, 23, 38, 23, 21 | Mean (average): 22.142857 |
Common mistakes
- Using the wrong units for numbers (separate by comma or space).
- Comparing results while changing more than one input at a time.
- Check units, date boundaries and rounding before using the answer in a report or a practical measurement.
Checklist
- Confirm numbers (separate by comma or space).
- Check the result against your source or provider.
Calculators Percentage Editorial Team
Calculator guides from the Calculators Percentage team. These introductory examples are educational, not professional advice.
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Check units, date boundaries and rounding before using the answer in a report or a practical measurement.