Mean, Median and Mode Calculator
Paste a data set to find the three measures of central tendency at once: the mean, the median and the mode, along with the range. Handles even and odd counts and flags multimodal data.
How to find the mean, median and mode
- Enter your numbers separated by commas, spaces or new lines.
- Read the mean (average), the median (middle value) and the mode (most frequent value).
- Check the range to see how far the data spreads.
Examples
Odd-length set
1, 2, 2, 3, 4
Mean = 2.4, median = 2, mode = 2, range = 3
Bimodal set
1, 1, 2, 2, 3
Modes = 1 and 2 (multimodal), median = 2
Frequently asked questions
What is the difference between mean, median and mode?
The mean is the arithmetic average, the sum of the values divided by how many there are. The median is the middle value when the data is sorted. The mode is the value that appears most often. Together they describe the center of a data set from three angles.
How is the median found for an even number of values?
When the count is even there is no single middle value, so the median is the average of the two middle values after sorting. For example the median of 1, 2, 3 and 4 is the average of 2 and 3, which is 2.5.
What does it mean if there is more than one mode?
A data set can be multimodal, with two or more values tied for the highest frequency. This calculator lists every value that ties for most frequent and flags the set as multimodal when there is more than one.
What if every value is unique?
If no value repeats, there is no mode and the calculator reports an empty mode list. The mean, median and range are still calculated normally.
What is the range and why is it shown?
The range is the difference between the largest and smallest value. It is a quick measure of spread that complements the mean, median and mode, giving a fuller picture of the data.
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