Paste anything
Commas, spaces, tabs or new lines all work, so you can paste a column straight from a spreadsheet. Anything that is not a number is flagged and skipped.
Statistics made simple
Mean, Median, Mode Calculator With range, quartiles and step-by-step working
Paste any list of numbers and get the mean, median, mode and range instantly. This free calculator also shows the full working, quartiles, standard deviation, outliers, a frequency table and a box plot.
- Step-by-step working
- Paste from Excel
- Quartiles & outliers
- Box plot
- Frequency table
Mean (average)
81.1
n = 10 values · sum 811
Median85average of 2 middle
Mode85appears 3 times
Range26max − min
Minimum66
Maximum92
Q1 (lower quartile)72
Q3 (upper quartile)88
Interquartile range16
Midrange79
Sample std. deviation9.04
Population std. deviation8.57
Sample variance81.66
Population variance73.49
Geometric mean80.63
Harmonic mean80.14
Outliers (1.5 × IQR rule)None
Quartiles use the median-of-halves method. Outliers fall below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR.
Working, frequency table and box plot
| Value | Frequency | Relative frequency | Cumulative frequency |
|---|
Box: Q1 to Q3MedianMeanOutlierData point
Why it is better
More than a basic average calculator
Most mean, median and mode calculators give you three numbers and nothing else. This one shows how every answer is found and gives you the full picture of your data in one place.
Every measure at once
Mean, median, mode and range, plus quartiles, IQR, standard deviation, variance, geometric mean and harmonic mean.
Step-by-step working
See exactly how each answer is found, with the sorted list and the middle values highlighted. Ideal for homework and exam revision.
Box plot and outliers
A clear box-and-whisker chart with the mean marked and outliers flagged using the standard 1.5 × IQR rule.
Frequency table
Counts, relative frequency and cumulative frequency for every value, with the mode highlighted so it stands out.
Your precision, one-click copy
Choose 2 to 6 decimal places, sort your data in one tap and copy a neat summary for notes, reports or assignments.
Step by step
How to use the mean, median, mode calculator
Results update as you type, so you can check a whole data set in seconds.
Enter or paste your numbers
Type values separated by commas or spaces, or paste a column from a spreadsheet.
Check the count
The counter shows how many values were read. Any text or symbols are flagged and ignored.
Read the key results
The mean, median, mode and range appear at the top, with quartiles and spread below.
Open the working
Use the Step-by-step tab to see every calculation, or switch to the frequency table and box plot.
Adjust and copy
Pick your decimal places, sort the data if you like, then copy the results in one click.
The maths
How to find the mean, median, mode and range
These four measures describe the centre and the spread of a data set. Here is how each one works, using the test scores 72, 85, 90, 66, 85, 78, 92, 85, 70 and 88.
Mean = Σx ÷ n
Mean
Add every value and divide by how many there are: 811 ÷ 10 = 81.1.
Median
Sort the values and take the middle one. With 10 values, average the 5th and 6th: (85 + 85) ÷ 2 = 85.
Mode
The value that appears most often. Here 85 appears three times, so the mode is 85.
Range
The largest value minus the smallest: 92 − 66 = 26.
Which average should you use?
| Measure | Best for | Watch out for |
|---|---|---|
| Mean | Balanced data such as test scores or heights | Pulled strongly by outliers |
| Median | Skewed data such as incomes or house prices | Ignores how extreme the far values are |
| Mode | The most common value, such as shoe sizes or survey answers | There may be no mode, or several |
Quartiles, IQR and outliers
Quartiles split sorted data into four equal parts. Q1 is the median of the lower half and Q3 is the median of the upper half. The interquartile range (IQR = Q3 − Q1) covers the middle 50% of your values. Any value below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR is treated as an outlier.
Why the mean and median can differ: in the sales sample, one very large value of 610 pulls the mean up to 174.92 while the median stays at 137. When that happens, the median is the better guide to a typical value.
Benefits
Who uses a mean, median and mode calculator?
Averages are everywhere, from classrooms to sales reports. Checking them by hand is slow and easy to get wrong.
Students
Check homework answers and learn the method from the working, rather than just copying a number.
Teachers
Summarise class results in seconds and show the working on screen during a lesson.
Business and analysts
Get a quick read on sales, prices or survey scores, and spot the outliers that distort averages.
Researchers and labs
Check the centre and spread of measurements before deeper analysis, with quartiles and variance included.
Need more? Go deeper with the standard deviation calculator, work out changes with the percentage calculator, or find a weighted average with the grade calculator.
FAQ
Mean, median and mode FAQs
Quick answers to the questions students and professionals ask most.
How do you find the mean?
Add all the values together, then divide by how many values there are. For 2, 4 and 6, the sum is 12 and there are 3 values, so the mean is 12 ÷ 3 = 4.
How do you find the median?
Sort the values from smallest to largest. If there is an odd number of values, the median is the middle one. If there is an even number, the median is the average of the two middle values.
What if a data set has no mode?
If every value appears only once, the data set has no mode. A set can also have two modes (bimodal) or more than two (multimodal) when several values share the highest count.
What is the difference between mean, median and mode?
The mean is the arithmetic average, the median is the middle value of the sorted data, and the mode is the value that appears most often. Each describes a typical value in a different way.
When should I use the median instead of the mean?
Use the median when your data is skewed or has outliers, such as incomes or house prices. A few extreme values can pull the mean a long way, while the median stays close to the typical value.
What is the range in statistics?
The range is the largest value minus the smallest value. It is a quick measure of spread, but because it uses only the two extremes, a single outlier can make it very large.
How are quartiles and outliers calculated here?
This calculator uses the median-of-halves method: Q1 is the median of the lower half and Q3 the median of the upper half, leaving out the middle value when the count is odd. Values below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR are marked as outliers.
Can the mean be a decimal if all my numbers are whole?
Yes. The mean is the sum divided by the count, so it is often a decimal. For example, 10 test scores that add up to 811 have a mean of 81.1.
Get the full story behind your numbers
Paste your data, see every average with the working, and spot outliers before they mislead you.
Calculate mean, median and modeResults are rounded to the decimal places you choose. Quartile methods vary between textbooks and software, so Q1 and Q3 may differ slightly from other tools.