Calculate mean, median, mode, standard deviation, quartiles, and more
Using IQR method: values below Q1 - 1.5 × IQR (-4.5) or above Q3 + 1.5 × IQR (23.5)
| Value | Frequency | Percent |
|---|---|---|
| 3 | 1 | 6.7% |
| 4 | 1 | 6.7% |
| 5 | 1 | 6.7% |
| 6 | 1 | 6.7% |
| 7 | 1 | 6.7% |
| 8 | 2 | 13.3% |
| 9 | 1 | 6.7% |
| 10 | 1 | 6.7% |
| 11 | 1 | 6.7% |
| 12 | 1 | 6.7% |
| 13 | 1 | 6.7% |
| 14 | 1 | 6.7% |
| 15 | 1 | 6.7% |
| 21 | 1 | 6.7% |
3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 21
This Statistics Calculator computes the core descriptive statistics for a set of numbers you paste or type in: mean (average), median, mode, range, variance, and standard deviation. Enter values separated by commas, spaces, or line breaks (for example 12, 15, 15, 18, 21) and it returns each measure instantly in your browser, along with the count and sum used in the calculations.
It is built for students, teachers, and anyone working with a data set who needs quick summary numbers without opening a spreadsheet. Because it accepts decimals and negative numbers, it works equally well for exam-score analysis, lab measurements, survey results, or sensor readings.
The mean is the sum of all values divided by the count (n). The median is the middle value after sorting; with an even count it is the average of the two central values. The mode is the value that appears most often, and a data set can have more than one mode or none if every value is unique. The range is simply the largest value minus the smallest.
Variance measures how far values spread from the mean. Population variance divides the sum of squared deviations by n, while sample variance divides by n-1 (Bessel's correction) to reduce bias when your data is only a sample of a larger group. Standard deviation is the square root of the variance, expressed in the same units as your data. For example, for the set 4, 8, 6, 5, 3, 2 the mean is 4.67 and the population standard deviation is about 1.97, so most values fall within roughly two units of the average.
Choosing population versus sample matters: the same numbers can produce a slightly larger sample standard deviation than population standard deviation, and picking the wrong one is a common source of mismatched answers in homework.
Population standard deviation divides by n and is used when your data covers the entire group you care about. Sample standard deviation divides by n-1 and is used when your data is a subset drawn from a larger population. This calculator lets you pick which one applies.
You can separate values with commas, spaces, or new lines, and mix them freely. The tool ignores extra whitespace, so pasting a column of numbers from a document usually works without cleanup.
If every number appears exactly once, there is no mode and the tool reports that. If several values tie for the highest frequency, it reports all of them as modes.
Yes. Both decimals (like 3.14) and negatives (like -7) are fully supported, so the tool works for measurements, temperatures, and financial figures as well as whole-number scores.
The values are sorted, and the median is the average of the two middle numbers. For an odd count it is simply the single middle value after sorting.
Yes, it is completely free with no sign-up. All calculations run locally in your browser, so the numbers you enter are never uploaded to a server or stored anywhere.
It comfortably handles hundreds of values pasted at once. Since processing happens in your browser, very large sets are limited only by your device's memory rather than any server cap.