Find the mean, median, mode, range and standard deviation.
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How do you calculate mean, median, mode and standard deviation?
Mean = sum ÷ count. Median is the middle value. Mode is the most frequent value. Range = max − min. Standard deviation measures spread around the mean. The mean is the average, the median resists outliers, and the mode shows the most common value. For 4, 8, 15, 16, 23, 42, 8: mean ≈ 16.57, median 15, mode 8, range 38.
Understanding your result
Mean is the average, median is resistant to outliers, and the mode shows the most common value (or none if all are unique).
Formula and method
Mean = sum ÷ count. Median is the middle value. Mode is the most frequent value. Range = max − min. Standard deviation measures spread around the mean.
Worked example
For 4, 8, 15, 16, 23, 42, 8: mean ≈ 16.57, median 15, mode 8, range 38.
How to use this tool
- Enter your numbers separated by commas or spaces.
- Read the full set of statistics.
Common mistakes to avoid
- Confusing population and sample standard deviation — this uses the population formula.
About the Statistics Calculator
Enter a list of numbers to get the key descriptive statistics: mean, median, mode, range and standard deviation.
Who should use this tool
Students and anyone summarising a small data set.
Frequently asked questions
What if there is no mode?
If every value appears once, the mode is reported as none.
Which standard deviation is used?
The population standard deviation (dividing by N).