Statistics Calculator
Paste a list of numbers to get the full set of descriptive statistics — mean, median, mode, range, variance and standard deviation. Separate values with commas, spaces or new lines.
- Count
- 9
- Median
- 21
- Mode
- 24
- Minimum
- 12
- Maximum
- 30
- Range
- 18
- Std deviation
- 5.437
- Variance
- 29.556
- Sum
- 183
How it works
Descriptive statistics summarise a set of numbers. The mean is the average (sum divided by count); the median is the middle value when sorted; and the mode is the most frequent value. Spread is described by the range (max minus min), the variance (the average squared distance from the mean) and the standard deviation (the square root of the variance, in the original units).
This calculator treats your numbers as a full population, so the variance and standard deviation divide by the count. Paste values separated by commas, spaces or new lines and every statistic updates as you type.
Examples
- For 2, 4, 4, 4, 5, 5, 7, 9 the mean is 5 and the mode is 4.
- The median of that set is 4.5 — the average of the two middle values.
- Its population standard deviation is 2.
Frequently asked questions
- What is the difference between mean and median?
- The mean is the arithmetic average; the median is the middle value. The median is less affected by extreme outliers than the mean.
- What is the mode?
- The value that appears most often. A set can have no mode, one mode, or several if multiple values tie for the highest frequency.
- Population or sample standard deviation?
- This tool computes the population standard deviation (dividing by n). Sample standard deviation divides by n − 1 and is slightly larger.
- How should I separate the numbers?
- Use commas, spaces, semicolons or new lines — any mix works. Non-numeric text is ignored.