Enter a set of numbers into the Data Set field — separated by commas or spaces — and this Mean Median Mode Range Calculator computes all key measures of central tendency at once. You'll get the mean (average), median (middle value), mode (most frequent value), and range, plus supporting stats like count, sum, minimum, and maximum.
Mean (Average)
--
Median
--
Mode
--
Range
--
Count (n)
--
Sum
--
Minimum
--
Maximum
--
All three are measures of central tendency that describe a typical value in a data set. The mean is the arithmetic average of all values. The median is the middle value when data is sorted from smallest to largest. The mode is the value that appears most frequently. They can give different answers depending on how the data is distributed.
To find the mean, add up all the numbers in your data set and then divide the total sum by the count of numbers. For example, for the set {4, 8, 6, 5, 3, 2, 8, 9, 2, 5}, the sum is 52 and there are 10 values, so the mean is 52 ÷ 10 = 5.2.
Sort your data from smallest to largest and find the middle value. If there is an odd number of values, the median is the single middle number. If there is an even number of values, the median is the average of the two middle numbers.
The mode is the value that occurs most often in a data set. A data set can have no mode (all values unique), one mode (unimodal), or multiple modes (bimodal or multimodal) if several values share the highest frequency. It is the only measure of central tendency that can be used with non-numeric (categorical) data.
The range is the difference between the maximum and minimum values in a data set. It gives a simple measure of the spread or variability of the data. A large range indicates the data is widely spread out, while a small range means the values are clustered close together.
The mean works well when your data is symmetrically distributed without extreme outliers. The median is preferred for skewed distributions or data with outliers because it is resistant to extreme values — for example, household income data often uses the median since a few very high earners can inflate the mean significantly.
The interquartile range is the difference between the third quartile (Q3, the 75th percentile) and the first quartile (Q1, the 25th percentile). It measures the spread of the middle 50% of the data and is useful for identifying outliers and understanding variability without being affected by extreme values.
Yes. If two values both appear with the same highest frequency, the data set is called bimodal and both values are modes. If three or more values share the highest frequency, it is multimodal. This calculator reports all modes when more than one exists.