Mean Median Mode Range Calculator
Calculate mean, median, mode, and range
Mean Median Mode Range Calculator tool
Statistical Results
Mean (Average)
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Median
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Mode
No mode
Range
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Count
0
Sum
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Minimum
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Maximum
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Mean Median Mode Range Calculator: key facts
- What it does
- Calculate mean, median, mode, and range
- Category
- Math Calculators
- Cost
- Free, with no account, sign-up, or install.
- Your data
- Runs entirely in your browser — the files and text you enter are never uploaded to a server.
- Last reviewed
- . Report an incorrect result.
About the Mean Median Mode Range Calculator
The four basic statistics — mean, median, mode, and range — each describe a data set in a different way, and together they give a quick, rounded summary. This calculator computes all four at once from a list of numbers, plus the count, sum, minimum, and maximum, and shows your data sorted.
Students use it to work through statistics problems; anyone summarizing a set of values — test scores, prices, measurements — uses it to capture the center and spread in one go. It handles the tricky details properly: averaging the two middle values for an even count, listing every mode when several tie, and reporting "no mode" when every value is unique.
How to use it
- Enter your numbers in the box, separated by commas, spaces, or new lines.
- Read the mean, median, mode, and range together.
- Check the extra figures — count, sum, minimum, and maximum.
- Review the automatically sorted list of your values shown beneath.
Four summaries of one dataset
The tool parses your comma-separated values and reports four different descriptions of them. The mean sums everything and divides by the count. The median sorts the values and takes the middle one, averaging the two central values when the count is even. The mode is whatever appears most often, and there may be several or none. The range is simply the largest value less the smallest.
Reporting all four together is the point, because they answer different questions and can disagree sharply. Mean, median, and mode coincide only in a symmetric distribution; the gap between them is itself informative about the shape of the data.
- The default set — 1, 2, 2, 3, 4, 5, 5, 5 — has a mean of 3.38, a median of 3.50, a mode of 5, and a range of 4.
- The mode sits above both mean and median here, which indicates the data is skewed towards the lower end despite the repeated 5s.
- Add a single value of 100 and the mean jumps past 14 while the median moves only to 4 — one outlier, two very different reactions.
Why use this version
- It computes all four core statistics — mean, median, mode, and range — in a single pass, plus count, sum, min, and max.
- It handles edge cases correctly: it averages the two middle numbers for an even-sized set, lists multiple modes when there is a tie, and reports "no mode" when all values are unique.
- It sorts and displays your numbers, which makes the median and range easy to verify by eye.
- All processing happens locally, so your data stays private.
Choosing which average to quote
The mean uses every value, which makes it efficient and also makes it vulnerable: a single extreme figure drags it. That is why household income is conventionally reported as a median. A small number of very high earners pulls the mean well above what a typical household actually receives, and quoting the mean in that context is misleading even though it is arithmetically correct.
The median is robust to outliers and is the better choice for skewed data or where extreme values are suspect. Its weakness is that it ignores magnitude — it knows only ordering, so it cannot register how far away the extremes are.
The mode is the only one of the three that works on categorical data, where there is nothing to add or sort: the most common blood type or the most frequent response to a survey question. Range, meanwhile, is the crudest measure of spread, since it depends entirely on the two most extreme observations; interquartile range or standard deviation describe dispersion far more reliably.
Frequently Asked Questions
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 when the numbers are sorted. The mode is the value that appears most often. Each can tell a different story, especially when a few extreme values skew the mean.
What happens if there is no mode?
If every number appears exactly once, there is no value that repeats, so the calculator reports "no mode." When several values tie for the most frequent, it lists all of them, since a data set can legitimately have more than one mode.
How is the median found for an even number of values?
With an even count there is no single middle value, so the median is the average of the two middle numbers after sorting. The calculator sorts your list and does this automatically.
What does the range tell me?
The range is the difference between the largest and smallest values, a simple measure of spread. A large range signals widely scattered data, though it only reflects the extremes — for a fuller picture of spread, look at standard deviation.
