Enter a list of numbers to calculate mean, median, mode, range, variance, standard deviation, and quartiles.
Purple = mode (most frequent)
| Statistic | Value |
|---|---|
| Count (n) | 9 |
| Sum | 51 |
| Mean (average) | 5.66666667 |
| Median | 4 |
| Mode | 4 |
| Range | 12 |
| Minimum | 1 |
| Maximum | 13 |
| Variance (population) | 12.44444444 |
| Variance (sample) | 14 |
| Std Dev (population σ) | 3.52766841 |
| Std Dev (sample s) | 3.74165739 |
| Q1 (25th percentile) | 3 |
| Q2 / Median (50th) | 4 |
| Q3 (75th percentile) | 8 |
| IQR (Q3 − Q1) | 5 |
Calculate the mean, median, mode, and range of any dataset instantly with our free calculator, essential statistics for coursework, research, or general data analysis.
Mean = sum of all values ÷ number of values. Median = the middle value when data is sorted (or average of two middle values for even-count datasets). Mode = the most frequently occurring value(s). Range = maximum value − minimum value.
Median is more resistant to outliers/skewed data, for datasets with extreme values (like income data), median often better represents the "typical" value than mean.
Yes, a dataset can be bimodal (two modes) or multimodal (more than two), or have no mode at all if every value appears with equal frequency.
A large range indicates more spread/variability in the data between the smallest and largest values, though it's sensitive to outliers since it only considers the two extreme values.
Large differences typically indicate skewed data or outliers pulling the mean away from the "typical" middle value that median represents.