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Statistics formulas
17 formulas for Statistics, from the Vectors, Probability & Statistics section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Mean | x̄ = Σx / n | |
| Mean (frequency) | x̄ = Σfx / Σf | |
| Assumed-mean method | x̄ = A + Σfd / Σf | |
| Median (odd n) | ((n + 1)/2)-th value | sorted data |
| Median (grouped) | L + ((n/2 − cf) / f) × h | |
| Mode (grouped) | L + ((f₁ − f₀)/(2f₁ − f₀ − f₂)) × h | |
| Empirical relation | Mode = 3 Median − 2 Mean | |
| Range | Max − Min | |
| Variance | σ² = Σ(x − x̄)² / n = Σx²/n − x̄² | |
| Standard deviation | σ = √(variance) | |
| Sample variance | s² = Σ(x − x̄)² / (n − 1) | |
| Coefficient of variation | CV = σ / x̄ × 100 | |
| Mean deviation | Σ|x − x̄| / n | |
| Quartile deviation | (Q₃ − Q₁) / 2 | |
| Correlation (Pearson) | r = Σ(x − x̄)(y − ȳ) / √(Σ(x − x̄)² Σ(y − ȳ)²) | |
| Regression line y on x | y − ȳ = b(x − x̄), b = r σ_y / σ_x 🧮 Solve step by step | |
| Combined mean | (n₁x̄₁ + n₂x̄₂)/(n₁ + n₂) |
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