Find the mean, median, mode, range and standard deviation.
Calculated locally in your browser.
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.
Assumptions and limitations
This tool computes descriptive statistics for the list you enter and does not perform inferential tests, confidence intervals or regression. It reports the population standard deviation, dividing by n rather than n minus one, so a sample estimate will differ slightly. A dataset may have no mode, and extreme outliers can distort the mean and range.
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.
Benefits
- Delivers mean, median, mode, range and spread in one step
- Handles decimals, negatives and long lists of numbers
- Pairs a robust median with the outlier-sensitive mean
- Calculates locally in your browser, keeping data private
Practical use cases
- Summarising survey or test scores at a glance
- Checking the spread of experimental measurements
- Teaching descriptive statistics with worked numbers
- Comparing two datasets by centre and variability
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).
Does this use population or sample standard deviation?
It calculates the population standard deviation, dividing the summed squared deviations by n, the count of values. If your numbers are a sample drawn from a larger group and you need an unbiased estimate, the sample formula divides by n minus one instead, giving a marginally larger figure. The difference shrinks as the dataset grows.