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Mean, median and mode calculator
The mean, median, mode and range of your numbers, exact, with every mode listed. Free, with no account or uploads.
Find the mean, median and mode
Paste your numbers separated by commas, spaces or new lines.
These numbers are
A sampleThe whole population
A sample divides by n − 1, which corrects for seeing only part of the group.
Mean
5
Of 8 numbers: mean 5, median 4.5, mode 4.
- Count
- 8
- Sum
- 40
- Mean
- 5
- Median
- 4.5
- Mode
- 4 (3 times)
- Lowest and highest
- 2 and 9
- Range
- 7
- Quartiles (Q1, Q3)
- 4 and 5.5
- Interquartile range
- 1.5
- Variance
- 4.5714
- Standard deviation
- 2.13809
The working
- Mean = sum ÷ count = 40 ÷ 8 = 5.
- Take the mean from each number, square it and add: Σ(x − mean)² = 32.
- Divide by count − 1 = 7: variance = 4.5714.
- Standard deviation = √variance = 2.13809.
- Quartiles by straight lines between the sorted numbers at (n − 1) × ¼ and × ¾, as Excel's QUARTILE.INC and NumPy do; other methods give other quartiles.
Lead with
Standard deviationMeanVariance
Sums and means are exact; worked out in your browser, and nothing you type is sent anywhere or kept.
A little help along the way
Follow these steps. Every option is explained underneath. Everything runs in your browser; nothing is sent anywhere or kept.
- Say what you want to knowDescribe your numbers, a z-score, or a z-table.
- Paste or type your numbersSeparated by commas, spaces or new lines, and say whether they are a sample or a whole population.
- Read the answerThe figure you came for first, then every measure, and the working under it.
Questions people ask
- What are mean, median and mode?
- The mean is the sum over the count, the median the middle value once sorted, and the mode the value that appears most often.
- What if there are two modes, or none?
- Every value that appears most often is listed; when no value repeats, the page says there is no mode.
- Is the mean exact?
- Yes. Sums and means are worked out as exact fractions, so 0.1 + 0.2 is 0.3.
This page is the Statistics calculator, opened for this one job; every other tool it has is one press away. Each of its settings is explained on the Statistics calculator's own page.
Read the step-by-step guide