Statistics & Probability

Mean, Median and Mode Calculator

Paste or type your numbers to get the mean, median, mode and range at once.

By TheCalcTools Updated Formula checked and tested

Your numbers

Separate numbers with commas, spaces or new lines. You can paste a column from a spreadsheet.

Your results

Mean (average)
Mean (average)
—
Median
—
Mode
—
Range
—
Minimum
—
Maximum
—
Count
—
Sum
—
Sorted values
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Mean, Median and Mode Calculator by TheCalcTools

How the Mean, Median and Mode Calculator works

The mean is the sum of the values divided by how many there are. It uses every value, so one very large or small number pulls it a long way.

The median is the middle value once the list is sorted. With an even count it is the average of the two middle values. It is not affected by extreme values, which is why it is used for incomes and house prices.

The mode is the value that appears most often. A list can have one mode, several modes, or none if every value appears once. The range is the largest value minus the smallest.

The formula

Mean = Σx ÷ n, Median = middle value of the sorted list, Range = max − minWith an even count n, the median is the average of the values in positions n/2 and n/2 + 1.

Worked example

Using the default values shown in the calculator:

Your numbers12, 15, 15, 18, 20, 22, 25, 25, 25, 30
  1. Sum = 207, count = 10, so the mean = 207 ÷ 10 = 20.7.
  2. Sorted, the two middle values are 20 and 22, so the median is 21.0.
  3. 25 appears three times, more than any other value, so the mode is 25.

Result:

Mean (average)20.7000
Median21.0000
Mode25
Range18.0000
Minimum12.0000
Maximum30.0000
Count10
Sum207.0000
Sorted values12, 15, 15, 18, 20, 22, 25, 25, 25, 30

Frequently asked questions

When should I use the median instead of the mean?

Use the median when the data are skewed or contain outliers, such as salaries or house prices. The mean is best for roughly symmetric data without extreme values.

What if two values are tied for the most frequent?

Then the data set is bimodal and both values are listed as modes. If every value appears exactly once, there is no mode.

Can I paste a column from Excel or Google Sheets?

Yes. Copy the cells and paste them into the box. Values can be separated by new lines, commas, spaces or semicolons. Do not use commas as thousands separators.

Sources and further reading

Standard Deviation CalculatorPaste your data to get the standard deviation, variance and mean, for a sample or a… Quartile and Interquartile Range (IQR) CalculatorPaste your data to get Q1, the median, Q3, the IQR and the five-number summary Average CalculatorPaste your numbers to find their average instantly Weighted Average CalculatorEnter values and their weights in the same order to get the weighted average Coefficient of Variation CalculatorCompare variability between data sets with different units or scales Variance CalculatorPaste your numbers to get the sample and population variance side by side

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.