Statistics Calculator
Mean, median, mode, range, quartiles and standard deviation with working.
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How to use this calculator
Enter your list of numbers. The calculator sorts them and gives the mean, median, mode, range, quartiles, variance and standard deviation, with the working.
How it's calculated
Mean = sum ÷ count. Median = middle value of the sorted list. Mode = most frequent value. Variance (population) = Σ(x − mean)² ÷ n; sample variance divides by n − 1. Standard deviation = √variance.
Worked example
For 2, 4, 4, 4, 5, 5, 7, 9: mean = 40 ÷ 8 = 5, median = 4.5, mode = 4, population standard deviation = 2.
Frequently asked questions
Population or sample standard deviation?
Use population if your numbers are the whole group. Use sample if they are a small part of a bigger group.
What if there are two modes?
All the most frequent values are listed.
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Last updated October 2026. Results are for learning and guidance; always check important work. Calculations run in your browser and are not stored.