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Mean, Median, Mode, Range Calculator

Find the mean, median, mode, range, and geometric mean of a comma-separated list of numbers.

ExampleSample values — edit any field to see your result.

Separate numbers with commas. At least two values are required.

Results update as you type.

Mean

22.142857142857

Estimated result

Median
23
Range
36
Mode
38, 23, each appeared 2 times
Geometric Mean
16.412764443111
Largest
38
Smallest
2
Sum
155
Count
7
Sorted Data Set
2, 10, 21, 23, 23, 38, 38
Mean22.142857142857

Paste a comma-separated list of numbers to get the arithmetic mean, median, mode, range, and geometric mean, plus the largest and smallest values, the sum, the count, and the sorted data set.

Formula

The mean is the sum of the n values divided by n:

mean = (x1 + x2 + … + xn) / n

Sort the list in ascending order to find the median. For an odd count the median is the middle value; for an even count it is the average of the two middle values.

range = largest − smallest

The mode is the value (or values) with the highest frequency. Geometric mean is the n-th root of the product:

gmean = (x1 × x2 × … × xn)^(1/n)

If any xi is zero or negative, geometric mean is reported as 0.

Mean, median, mode, and range each describe a different aspect of the same list. An outlier pulls the mean and the range far more than the median, so looking at all four together is more informative than any one figure alone.

Examples

Default list 10, 2, 38, 23, 38, 23, 21

The sum is 155 and n is 7, so the mean is 22.142857142857. Sorted, the middle value is 23 (the median). Largest 38 minus smallest 2 is a range of 36. Both 38 and 23 appear twice, so the mode is 38, 23, each appeared 2 times (first-appearance order). The geometric mean is 16.412764443111.

All unique values 1, 2, 3, 4

The mean and median are both 2.5, the range is 3, and the mode is All values appeared just once. The geometric mean is 2.2133638394006.

Negatives and zeros

For -2, 10, 0, 10, -2 the mean is 3.2, the median is 0, and the range is 12. The mode is -2, 10, each appeared 2 times. Because the list includes zero and negatives, the geometric mean is 0.

Frequently asked questions

How should I enter the numbers?
Type or paste values separated by commas, such as 10, 2, 38, 23. Spaces around commas are fine. At least two numbers are required. Empty slots (two commas in a row) and non-numeric tokens are rejected.
What is the difference between mean, median, and mode?
The mean is the arithmetic average (sum divided by count). The median is the middle value after sorting — or the average of the two middle values when the count is even. The mode is the value that appears most often; a list can have one mode, several modes, or none if every value is unique.
How is range calculated?
Range is the largest value minus the smallest. It measures spread in the same units as the data, and a single outlier can make it much larger.
What is the geometric mean, and when is it zero?
The geometric mean is the n-th root of the product of the n values. It is only defined for positive numbers. If any value is zero or negative, this calculator reports a geometric mean of 0.
How are multiple modes listed?
When two or more values share the highest frequency, they are listed in the order they first appear in your input, followed by "each appeared k times." If every value appears once, the result is "All values appeared just once."

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