Mean Median Mode Calculator
Find the mean, median, mode, range and sum of any list of numbers. Quick descriptive statistics for students and analysts.
Comma-separated numbers, e.g. 1, 2, 2, 3, 4, 100.
Mean
18.67
Median
2.5
Mode(s)
2
Range
99
Sum
112
Count
6
How it works
Mean = Σ ÷ n. Median = middle of sorted data (avg of two middles if even). Mode = most frequent.
Example: [1,2,2,3,4,100] → mean 18.67, median 2.5, mode 2.
Last updated: January 2026
How this calculator is verified
Checked by True Calculator automated test suite on
- Formula verified against a published worked example in the automated test suite
- Edge cases (zero, negative, boundary and unit-mismatch inputs) covered by unit tests
The full verification method is on our how we verify page. Found an error? Tell us and we will re-check it.
When to Use This Calculator
Consider the monthly data bills 12, 15, 15, 18, 22 and 25. The sum is 107, so the mean is about 17.83. With six numbers, the median is the average of the two middle values, 15 and 18, giving 16.5, while 15 appears twice, making it the mode. The range is 13, that is 25 minus 12. Enter any list of numbers and the tool reports all five measures at once, which is useful for coursework and for quick checks on office data.
How to Use This Calculator
- Step 1: Enter the numbers, one per line or separated by commas, in any order — the tool sorts them for you.
- Step 2: Read the sum, count and mean of the list shown by the calculator.
- Step 3: Check the median, which is the middle value for an odd count or the average of the two middle values for an even count.
- Step 4: Read the mode (the most frequent value) and the range, which is the largest value minus the smallest.
Worked Example
Consider the monthly data bills 12, 15, 15, 18, 22 and 25. The sum is 107, so the mean is about 17.83. With six numbers, the median is the average of the two middle values, 15 and 18, giving 16.5, while 15 appears twice, making it the mode. The range is 13, that is 25 minus 12. Enter any list of numbers and the tool reports all five measures at once, which is useful for coursework and for quick checks on office data.
Tips and Common Mistakes
- •Tip 1: Use the mode when you need the most typical category value, like the most common order amount, since it beats the mean for skewed data.
- •Tip 2: If the mean and median differ noticeably, the data is skewed, so report the median for typical values like incomes or house prices.
- •Tip 3: Check whether the tool lists one or several modes, because a dataset can have two or more values tied for the highest frequency.
- ✗Mistake 1: Assuming the mode is always unique, when ties mean a list can have multiple modes or none at all.
- ✗Mistake 2: Reading the mean as a guarantee of typicality, when a single large outlier pulls it far from most values in the list.
Frequently Asked Questions
What is the mode when no value repeats?
If every value appears once, there is no mode. The calculator shows 'none' in that case.
Can a dataset have two modes?
Yes. If two values appear equally often, the dataset is bimodal and both are shown.
When should I use median instead of mean?
Use the median when data is skewed by outliers, such as salaries or house prices, where a few extreme values distort the mean.
How is the range calculated?
Range = maximum − minimum. It measures spread in the data's own units but a single extreme outlier can inflate it.
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