Mean Median Mode Calculator
Paste a list of numbers to find the mean, median, and mode in your browser. The same dataset can also show range, quartiles, IQR, outliers, and standard deviation.
Dataset
Calculations run in your browser. Numbers are not uploaded and no signup is required.
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Mean Median Mode Calculator: Quick Answer
Mean is the arithmetic average. Median is the middle value after you sort the list. Mode is the most frequent value — or values, if several tie.
Example: 4, 7, 7, 10, 12. Mean = 8, median = 7, mode = 7.
How to Use the Mean Median Mode Calculator
- Enter or paste your numbers.
- Choose rounding if you need a fixed number of decimals.
- Results update as you type.
- Review mean, median, mode, then count, sum, min, max, and range.
- Expand steps, frequency, sorted data, quartiles, or standard deviation when you need them.
What Are Mean, Median, and Mode?
The three numbers answer “what is typical?” in different ways. Mean uses every value equally, so a single extreme score can pull it. Median uses position after sorting, so it usually moves less when one value is far from the rest. Mode reports the value that appears most often, which is useful for scores, sizes, or ratings that repeat.
Mean vs Median vs Mode
| Statistic | Definition | Best for | Affected by outliers? |
|---|---|---|---|
| Mean | Arithmetic average | Overall numerical average | Yes |
| Median | Middle ordered value | Skewed data / central position | Less affected than mean |
| Mode | Most frequent value | Most common result | Depends on frequency |
Mean Median Mode Formulas
- Mean: x̄ = Σx / n
- Median: middle value of the sorted dataset, or the average of the two middle values when n is even.
- Mode: the most frequently occurring value or values. If every value appears once, there is no mode.
- Range = maximum − minimum
- IQR = Q3 − Q1
- Population variance = Σ(x − μ)² / N; population SD is the square root of that.
- Sample variance = Σ(x − x̄)² / (n − 1); sample SD is the square root of that.
Quartiles on this page default to Tukey inclusive hinges. You can switch to exclusive hinges or Excel inclusive interpolation. Display rounding never changes the internal arithmetic.
The square root inside standard deviation can be checked with the Square Root Calculator.
Mean Median Mode Examples
- Exam scores. 60, 72, 72, 80, 90. Mean 74.8, median 72, mode 72, range 30. The repeated 72 is the mode.
- Daily sales. 12, 15, 15, 18, 40. Mean 20, median 15, mode 15, range 28. The 40 pulls the mean above the median.
- Survey ratings. 1, 2, 3, 3, 4, 5. Mean 3, median 3, mode 3, range 4. The most common rating is 3.
- Dataset with an outlier. 2, 2, 2, 3, 100. Mean 21.8, median 2, mode 2, range 98. Tukey 1.5×IQR flags 100 as an outlier.
- Dataset with multiple modes. 1, 1, 2, 2, 3. Mean 1.8, median 2, mode 1, 2, range 2. 1 and 2 both appear twice.
Common Mean Median Mode Mistakes
- Finding the median from the original order instead of the sorted list.
- Using the wrong count after dropping or double-counting a value.
- Treating mean and median as interchangeable on skewed data.
- Assuming every dataset has a mode.
- Picking one arbitrary mode when several values tie.
- Using population standard deviation when the data are a sample.
- Rounding each step before the final result.
- Treating an IQR outlier as an automatic data-entry error.
- Comparing quartiles from two tools that use different hinge rules.
Frequently Asked Questions
- What is the mean?
- The mean is the arithmetic average: add every value, then divide by how many values there are.
- What is the median?
- The median is the middle value after the list is sorted from smallest to largest.
- What is the mode?
- The mode is the value that appears most often. A list can have no mode or more than one mode.
- How do you calculate mean, median, and mode?
- Mean is sum ÷ count. Median is the middle sorted value, or the average of the two middle values when n is even. Mode is every value with the highest frequency.
- What happens when a dataset has no mode?
- If every value appears the same number of times — usually once — this calculator reports no mode instead of inventing one.
- Can a dataset have more than one mode?
- Yes. If two or more values share the highest frequency, all of them are listed as modes.
- How do you find the median when there is an even number of values?
- Sort the list, then average the two middle numbers. For 3, 7, 8, 10 the median is 7.5.
- What is the difference between mean and median?
- Mean uses every value equally, so extremes pull it. Median uses position in the sorted list and usually moves less when one value is far away.
- How does this calculator handle negative numbers?
- Negative numbers are valid data. They are included in the sum, the sorted median, frequencies, and the other statistics.
- What is the difference between sample and population standard deviation?
- Population SD divides the squared deviations by N. Sample SD divides by n − 1. Use sample when the list is a sample from a larger group.
- Can this calculator calculate quartiles and IQR?
- Yes. Q1, Q2, Q3, and IQR are available. The default method is Tukey inclusive hinges; exclusive and Excel inclusive are selectable.
- Does the calculator store my data?
- No. The numbers stay in your browser during normal use and are not uploaded to EverydayTools.
Last editorial review: 2026-10-04.
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