Statistics solver — mean, median, mode & standard deviation
Type in a list of numbers and get the full statistical breakdown at once: mean, median, mode, range, variance, and standard deviation — population and sample — each with the formula and the working shown.
Part of SolveStep's free math solver, alongside dedicated tools for algebra, geometry, matrices, and calculus.
Every core descriptive statistic, in one pass
Rather than picking one statistic at a time, this tool analyzes your whole data set at once and shows the reasoning for each measure: how the mean is summed and divided, how the median is found by sorting, how squared deviations feed into variance, and how variance becomes standard deviation.
It distinguishes population statistics (dividing by n) from sample statistics (dividing by n − 1), since which one is correct depends on whether your list is the whole group or a sample from a bigger one.
Mean, median, mode
x̄ = Σx / n
The three classic measures of central tendency, computed and explained together.
Range
max − min
The simplest measure of spread — the distance between your largest and smallest value.
Variance & standard deviation
σ² = Σ(x − x̄)² / n
Both population (÷n) and sample (÷n − 1) versions, with every squared deviation shown.
Frequently asked questions
What statistics does this tool calculate?
Mean, median, mode, range, population variance and standard deviation, and sample variance and standard deviation, all from one list of numbers.
What's the difference between population and sample standard deviation?
Population standard deviation divides by n and is used when your data is the entire group you care about. Sample standard deviation divides by n − 1 and is used when your data is a sample meant to estimate a larger population.
How do I enter my data?
Type numbers separated by commas, spaces, or line breaks, e.g. 4, 8, 6, 5, 3, 7 or 4 8 6 5 3 7.
What if there's no mode?
If every value in your list appears exactly once, the tool will tell you there's no mode rather than picking one arbitrarily.
Is this a math solver statistics students can use for homework?
Yes — paste in your data set and it returns every core measure at once, with the formula behind each one, so you can check homework or see how a value was reached.