About Statistics Calculator
Descriptive statistics summarize a list of numbers. This calculator sorts the list and reports count, sum, mean (sum ÷ n), median, mode, minimum, maximum, and range. Variance is the sum of squared deviations from the mean divided by n − 1 (sample) or n (population); standard deviation is its square root. Mean absolute deviation averages |x − mean|. Quartiles use linear interpolation at position (n − 1) × p in the sorted list.
Also known as: Average Calculator, Standard Deviation Calculator, Descriptive Statistics, Average of a List, Calculate Number Sum, Minimum and Maximum of a List, Sample Standard Deviation Calculator, Population Standard Deviation Calculator, Variance Calculator, Mean Absolute Deviation Calculator, Quartile and IQR Calculator.
How to use Statistics Calculator
- Type or paste into the "List of numbers (separate with spaces, commas, or new lines; use a dot for decimals)" box, or press "Use example" to try it with sample data.
- The result appears below and updates as you type.
- Copy the result with the copy button, or download it as a file where that is offered.
Questions about Statistics Calculator
What is the difference between sample and population standard deviation?
Population standard deviation divides the squared deviations by n and fits data that covers the whole group. Sample standard deviation divides by n − 1 to correct for estimating from a subset, so it is slightly larger.
Why do the quartiles differ from another calculator?
There are several accepted quartile methods. This one interpolates linearly at position (n − 1) × p, the same method as the inclusive quartile function in common spreadsheets. Methods that split the list around the median can give slightly different values.
Why does the mode say none?
A mode is reported only when at least one value appears more than once. If every number in the list is unique, there is no mode. If several values tie for the highest count, all of them are listed.
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