Mathematics
Statistics Calculator
Analyze number series, weighted data, correlations and linear regression in one tool.
Analyze data
Separate numbers with spaces, line breaks or semicolons. Decimal commas and points are supported.
Result
Overview
5
Overview
Dispersion
Distribution
Additional measures
Histogram (Sturges rule)
Box plot with Tukey outliers
Frequency table
| Value | Absolute frequency | Relative frequency | Cumulative | Cumulative relative |
|---|---|---|---|---|
| 2 | 1 | 12.5 % | 1 | 12.5 % |
| 4 | 3 | 37.5 % | 4 | 50 % |
| 5 | 2 | 25 % | 6 | 75 % |
| 7 | 1 | 12.5 % | 7 | 87.5 % |
| 9 | 1 | 12.5 % | 8 | 100 % |
Deviation table
| Value | x − mean | (x − mean)² | Z-score |
|---|---|---|---|
| 2 | -3 | 9 | -1.5 |
| 4 | -1 | 1 | -0.5 |
| 4 | -1 | 1 | -0.5 |
| 4 | -1 | 1 | -0.5 |
| 5 | 0 | 0 | 0 |
| 5 | 0 | 0 | 0 |
| 7 | 2 | 4 | 1 |
| 9 | 4 | 16 | 2 |
Statistical methods
Mean, median and mode describe location; variance and standard deviation describe dispersion. Population divides by n, sample variance by n − 1.
Quartiles and custom percentiles use Type 7: h = (n − 1) × p with linear interpolation. Tukey fences identify potential outliers only.
Pearson measures linear association; Spearman measures monotonic rank association using average ranks for ties. Correlation does not prove causation.
Frequently asked questions
Which standard deviation should I use?
Use σ for the entire population and usually s for a sample. Both are shown.
Why can quartiles differ?
Several conventions exist. This calculator consistently uses Type 7.
What does R² mean?
In linear regression, R² is the share of variation in Y explained by the model.
How does a weighted mean work?
Each value contributes according to its weight.