Average Calculator
Paste a list of numbers and get the mean, median, mode, range, sum and count, with the sorted data shown.
Mean (average)
18.3333
6 values
Median
18
Range
13
- Count
- 6
- Sum
- 110
- Mean
- 18.3333
- Median
- 18
- Mode
- 18
- Range
- 13
- Smallest / largest
- 12 / 25
- Standard deviation (population)
- 4.2687
- Standard deviation (sample)
- 4.6762
How this was calculated
- 1.Sum every value: 110.
- 2.Divide by the count: 110 ÷ 6 = 18.3333.
- 3.Sort the values to find the middle: 12, 15, 18, 18, 22, 25.
- 4.With an even count, the median is the average of the two middle values.
The mean is sensitive to outliers; the median is not. Compare both when the data is skewed.
How the average calculation works
The mean adds everything up and divides by how many values there are. It uses every number, which makes it sensitive to a single extreme value.
The median is the middle value once the data is sorted. Half the values sit below it and half above, so outliers barely move it — which is why house prices and incomes are usually reported as medians.
The mode is the most frequent value; a list can have several, or none. The range is simply the largest minus the smallest.
Worked example
12, 15, 18, 18, 22, 25.
- →Sum = 110, count = 6
- →Mean = 110 ÷ 6 = 18.33
- →Median = (18 + 18) ÷ 2 = 18
Answer: Mean 18.33, median 18, mode 18, range 13.
Average FAQs
What is the difference between mean and median?
The mean is the arithmetic average; the median is the middle value. A single very large number pulls the mean up but leaves the median almost unchanged.
What if there is no mode?
If every value appears once, the list has no mode — that is normal, not an error.
Which standard deviation is correct?
Use the sample version when your numbers are a sample of a larger group; use the population version when you have every value. Both are shown.
Average Calculator is part of the math calculators collection on Calcora, alongside 7 other tools. Results are calculated in your browser and are for information only — see our disclaimer.
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