Statistics Calculator
Enter your list of data — get mean, median, mode, variance, standard deviation and quartiles all at once. Perfect for exam data, surveys or any set of numbers.
| Count (n) | — |
|---|---|
| Sum | — |
| Median (middle value) | — |
| Mode (most frequent) | — |
| Minimum | — |
| Maximum | — |
| Range (Max − Min) | — |
| Variance — Population (σ²) | — |
| Variance — Sample (s²) | — |
| Standard Deviation — Population (σ) | — |
| Standard Deviation — Sample (s) | — |
| Q1 (first quartile) | — |
| Q3 (third quartile) | — |
| IQR (Q3 − Q1) | — |
Sorted list: —
How it works
Mean is the average of all numbers. Mode is the number that appears most often. Variance and standard deviation show how spread out the data is around the mean — the bigger the value, the more scattered the data.
- Example: data 4, 8, 15, 16, 23, 42 — count 6, sum 108, mean = 18, median = (15+16)/2 = 15.5, range = 42 − 4 = 38.
- Population vs Sample: if you have the full data (for example, all marks in a class), use the population values; if your data is only part (a sample) of a larger group, the sample values are correct — sample variance divides by (n−1).
Note: Q1 and Q3 use the "median-of-halves" method — the sorted list is split into two halves and the median of each half is taken (with an odd count, the middle number is left out of both halves).
How to use
- Enter your numbers, separated by commas, spaces or new lines.
- Results update live — read the mean, median, mode and other values from the result table.
- Use the population values for full data and the sample values for a sample of a larger group.
- Check the sorted list at the bottom to verify your data.
Frequently Asked Questions (FAQ)
What statistics does it calculate?
Mean, median, mode, minimum, maximum, range, population and sample variance, population and sample standard deviation, Q1, Q3, IQR and the sum.
How do I enter my numbers?
Type or paste them separated by commas, spaces or new lines. Results update live as you type.
Population or sample: which values should I use?
If you have the full data, for example all marks in a class, use the population values. If your data is only part of a larger group, the sample values apply.
How are Q1 and Q3 calculated?
With the median-of-halves method: the sorted list is split into two halves and the median of each half is taken.