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Average calculator
Mean, median, mode, sum and range of a list of numbers.
Quick answer
The mean is the sum divided by the count, the median is the middle value and the mode is the most common. Formula: Mean = sum of the numbers ÷ how many there are. The numbers 12, 18, 24, 30 and 36 have a mean and a median of 24.
Read the guide: How to find the mean, median and mode of numbers
Mean (average)
24.0000
- Median
- 24.0000
- Mode
- No repeated value
- Sum
- 120.0000
- Count
- 5
- Smallest
- 12.0000
- Largest
- 36.0000
- Range
- 24.0000
How is the average calculated?
The mean is the usual average. The median is the middle value and is less affected by one very large or very small number.
The mode is the most common value; if nothing repeats there is no mode.
Paste a column from a spreadsheet and the calculator splits it for you.
What is the formula for the average?
- Mean = sum of the numbers ÷ how many there are
- Median = the middle number once sorted (the mean of the two middle ones if the count is even)
- Mode = the value that appears most often
Can you show a worked example of the average?
12, 18, 24, 30, 36: the sum is 120 and there are 5 numbers, so the mean is 24. Sorted, the middle number is 24, so the median is 24 too.
What are the mean, median and mode of a list?
Three example lists. The mode is the most common value; "none" means no value repeats.
| Numbers | Mean | Median | Mode |
|---|---|---|---|
| 12, 18, 24, 30, 36 | 24 | 24 | none |
| 4, 8, 8, 10, 15, 20 | 10.8333333333 | 9 | 8 |
| 40, 55, 62, 70, 90 | 63.4 | 62 | none |
Common questions
When should I use the median instead of the mean?
When a few extreme values would pull the mean away from what is typical, such as salaries or house prices.
Can a list have more than one mode?
Yes. If two values appear equally often, both are shown.
How do I find a weighted average?
Multiply each value by its weight, add them up and divide by the total of the weights. This calculator gives the plain average.
How do I find the average of percentages?
Averaging is right only if each percentage is out of the same total. Otherwise use the totals.