How do I find the mean?

Add all values and divide the sum by the number of values.

How do I find the median?

Sort the values. The median is the middle value, or the average of the two middle values when the count is even.

How do I find the mode?

Count how often each value appears. The mode is the value or values with the highest frequency.

Can a data set have no mode?

Yes. If every value appears only once, the data set has no mode.

Math & Statistics Calculator

Mean Median Mode Calculator

Calculate mean, median, mode, range, sum, count, variance, and standard deviation from a list of numbers. Paste values separated by commas, spaces, or new lines.

Enter your data set

Numbers

Enter values and calculate the mean, median, mode, and spread of the data set.

Count0

Sum0

Mean0

Median0

Mode0

Range0

Minimum0

Maximum0

Sample standard deviation0

Mean formula

The mean is the arithmetic average. Add all numbers, then divide by the count.

\[\text{Mean} = \frac{\sum x}{n}\]

For 12, 15, 15, 18, 22, 30, the sum is 112 and the count is 6, so the mean is 18.6667.

Median formula

The median is the middle value after sorting. If the count is even, average the two middle values.

\[\text{Median} = \frac{x_{n/2} + x_{n/2+1}}{2}\]

For the sample data, the middle values are 15 and 18, so the median is 16.5.

Mode and range

The mode is the most repeated value. The range is the maximum value minus the minimum value.

\[\text{Range} = \max(x) – \min(x)\]

For the sample data, the mode is 15 and the range is 30 – 12 = 18.

Worked example

Suppose your data set is 8, 10, 10, 12, 15. The sum is 55 and there are 5 values.

Statistic	Calculation	Result
Mean	55 / 5	11
Median	Middle value of 8, 10, 10, 12, 15	10
Mode	10 appears twice	10
Range	15 – 8	7

Mean Median Mode Calculator FAQ

What is the mean?

The mean is the average of a data set. Add every value and divide by the number of values.

What is the median?

The median is the middle value after sorting the data from smallest to largest.

What is the mode?

The mode is the value that appears most often. A data set can have one mode, multiple modes, or no mode.

What is the difference between range and standard deviation?

Range only compares the maximum and minimum. Standard deviation measures how far values tend to be from the mean.