Statistics Calculator
Summarize numeric data with count, sum, mean, median, mode, range, variance and standard deviation in one browser-based calculation. Processing takes place l…
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What this calculator does
Summarize numeric data with count, sum, mean, median, mode, range, variance and standard deviation in one browser-based calculation.
Worked example
4, 7, 7, 10, 12
Count: 5 · Mean: 8 · Median: 7 · Population standard deviation: 2.76
How the calculation works
Descriptive statistics reduce a dataset to measures of center and spread. Variance averages squared distances from the mean; standard deviation is the square root of variance. Population and sample formulas use different divisors.
When to use it
- Review a small experimental or survey dataset
- Compare center and variability between two groups
- Check spreadsheet statistics before publishing them
Limits and checks
- Choose population or sample statistics according to how the data was collected.
- Missing values and units should be cleaned before calculation.
- A statistical summary does not establish causation or significance.
Frequently asked questions
What is the difference between sample and population standard deviation?
Sample standard deviation usually divides by n − 1 to estimate variability in a larger population; population standard deviation divides by n.
Why can two datasets have the same mean but look different?
They can have different ranges, distributions and standard deviations even when their means match.
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