Average Calculator
Mean, median, mode and std devRuns locally · nothing uploaded
Mean
17
Median
15
Mode
15
Count
8
Sum
136
Range
21
Minimum
9
Maximum
30
Population SD
6.0828
Sample SD
6.5027
Also works as:median calculatormode calculatorrange calculatorstandard deviationmin max
How it works
When to use it
- Summarize a set of scores, sales or measurements.
- Use the median when outliers skew the mean.
Formula
Mean = sum ÷ countMedian = middle value after sorting (average of the two middle values for an even count)Population SD = √[Σ(x − mean)² ÷ n]; sample SD = √[Σ(x − mean)² ÷ (n − 1)]Worked example
Given: 3, 5, 7, 7, 10
- Mean = 32 ÷ 5 = 6.4.
- Median = 7; mode = 7.
- Sum of squared deviations = 27.2; population SD ≈ 2.3324; sample SD ≈ 2.6077.
Result: Mean 6.4, median 7, mode 7.
Reading the result
- For skewed data like incomes, the median is more typical than the mean.
- Use sample SD when your data is a sample from a larger population.
Limitations
- All values count equally; use a weighted average when they shouldn't.
How to use
- 1Enter or paste numbers separated by commas, spaces or new lines.
- 2Statistics are calculated instantly.
FAQ
What is the difference between mean and median?
The mean is the sum divided by the count; the median is the middle value after sorting and is less affected by outliers.
Which standard deviation is shown?
Both: population standard deviation (divide by n) and sample standard deviation (divide by n − 1).
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