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Statistics calculator

A full descriptive summary of a data set in one pass: count, sum, mean, median, mode, minimum, maximum, range, the quartiles and interquartile range, plus the sample variance and standard deviation. Paste your numbers and read the whole picture.

Related tools

All Statistics & probability tools →
Average (mean) calculatorCompute the mean, sum and count of a list of numbers.Gini coefficient calculatorThe Gini coefficient of a distribution — the standard measure of inequality, from 0 (everyone equal) to 1 (one person has everything). Paste any set of non-negative values — incomes, wealth, market shares — and it computes the Gini and expresses it as a percentage, the way income inequality is usually reported.Mean, median & mode calculatorThe three averages of a data set at once — the mean (arithmetic average), the median (middle value) and the mode (most frequent) — plus the range. When several values tie for most frequent, they are all shown.Poisson distribution calculatorThe probability of exactly k events when they happen at an average rate λ per interval, independently — P(X=k) = e^(−λ)·λ^k / k!. It returns the exact probability, the cumulative P(X≤k), the tail P(X≥k), and reminds you that the mean and variance both equal λ.Population standard deviation calculatorThe population standard deviation σ of a data set — how far the values spread from their mean when your data covers the whole group, dividing by N (not n−1). Enter the numbers and it returns σ, the variance σ², the mean and the count.Range calculatorFind the range, minimum and maximum of a list of numbers.Standard deviation calculatorCompute the standard deviation, variance and mean of a list.Variance calculatorCompute the sample variance and mean of a list of numbers.

The Statistics calculator turns Data into Count, Sum, Mean, Median, Mode, Minimum, Maximum, Range, Q1, Q3, IQR, Sample variance, Sample std. dev., instantly and for free. For instance, with Data = 37, 23, 37, 38, 2, 19, 21, 29 it returns Count = 8, Sum = 206 and Mean = 25.75.

How to use it

  1. Enter your values: Data.
  2. Read the result instantly: Count, Sum, Mean, Median, Mode, Minimum, Maximum, Range, Q1, Q3, IQR, Sample variance, Sample std. dev..

Frequently asked questions

How does the Statistics calculator work?

It takes Data and derives Count, Sum, Mean, Median, Mode, Minimum, Maximum, Range, Q1, Q3, IQR, Sample variance and Sample std. dev. from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

A single value: Data. Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Data = 37, 23, 37, 38, 2, 19, 21, 29, the calculator returns Count = 8, Sum = 206 and Mean = 25.75. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

How much does the result change with different inputs?

It moves a lot. Using Data = 37, 24, 41, 44, 2, 24, 27, 39 instead, Sum goes from 206 to 238 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Data = 37, 23, 37, 38, Count comes out at 4. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Summarising a dataset before drawing conclusions from it, checking whether a difference between two groups is real, and putting an interval around an estimate.

What is the most common mistake?

Reading a p-value as the probability that the hypothesis is wrong. It is the probability of seeing data at least this extreme if the null were true — a different statement, and a much weaker one.

What is the difference between the Statistics calculator and the Average (mean) calculator?

Both return Count and Sum. What differs is what they ask for: this one wants Data, the Average (mean) calculator wants Numbers. Use whichever matches the numbers you already have.

Is there a tool for the next step?

Gini coefficient calculator is the closest one after this: The Gini coefficient of a distribution — the standard measure of inequality, from 0 (everyone equal) to 1 (one person has everything). Paste any set of non-negative values — incomes, wealth, market shares — and it computes the Gini and expresses it as a percentage, the way income inequality is usually reported.

What else is worth having open alongside it?

Mean, median & mode calculator and Poisson distribution calculator — they come up in the same task often enough to be worth a second tab.

Further reading

All guides →
ExplainerMean, Median and Mode: What's the Difference?Mean, median and mode all describe the 'middle' of your data — but answer different questions. Here's what each means, with examples and when to use which.How-toHow to Calculate Standard Deviation (Step by Step)Standard deviation measures how spread out your data is. Here's the formula, a worked example, and the difference between population and sample.How-toScientific Notation ExplainedScientific notation writes huge and tiny numbers as a value times a power of ten. Here's how to write it, read the exponent, and convert back.ExplainerProbability Basics, With ExamplesProbability measures how likely something is, from 0 to 1. Here's the basic idea, how to combine events with AND and OR, and the complement.ExplainerWhat Is a Percentile? The 90th Percentile ExplainedA percentile tells you where a value ranks within a group. Learn what the 90th percentile really means and why a percentile is not the same as a percentage.How-toHow to Calculate a Weighted AverageA weighted average gives some values more influence than others. Learn the Σ(w·x) / Σw formula with grade and portfolio examples you can follow step by step.
Statistics calculator — OneKitly