Descriptive Statistics Calculator
Full summary from any list of numbers — mean/median/mode, variance, stdev, Q1/Q3, IQR.
Every category on this site uses math, but those tools are built for a specific domain — a mortgage calculator knows about amortization schedules, a BMI calculator knows about WHO thresholds. This category is different: it covers the general-purpose math that doesn't belong to any single domain. Students checking homework, writers verifying a proportion, analysts doing a quick statistical sanity check, engineers confirming a formula before they reach for something heavier — this is where that work happens.
The basic subcategory covers arithmetic building blocks that come up constantly. The percentage calculator handles four operations in one tool: find a percentage of a number, find what percentage one number is of another, find the original value before a percentage change, and find the percentage difference between two values. Fraction and ratio calculators join it, along with proportion solving and exponent computation — including fractional exponents (cube roots, fourth roots) that most phone calculators handle awkwardly.
The statistics subcategory covers the core descriptive and inferential measures. A standard deviation calculator (showing both population and sample formulas), a mean/median/mode calculator that handles datasets pasted in as comma-separated values, a z-score calculator for standardizing values against a known mean and standard deviation, and a permutations and combinations calculator for counting problems. These are the statistics most people need when they need statistics — not a replacement for R or Python, but fast enough for the moment you need to check a number.
The geometry subcategory handles shapes and spatial relationships: triangle solving (Pythagorean theorem, law of cosines, area from three sides via Heron's formula), area for common shapes, circle properties from any single input (radius gives you diameter, circumference, and area simultaneously), and the distance-between-points formula for two coordinate pairs.
The algebra subcategory covers equation solving: quadratic equations (showing both real and complex roots where they exist), linear equations, systems of two equations in two unknowns, and logarithm evaluation in any base. A scientific calculator rounds out the set for cases where you just want to evaluate an expression.
What these tools are not: a graphing calculator, a computer algebra system, or a proof assistant. They don't plot functions, don't simplify symbolic expressions, and don't produce step-by-step derivations. For those tasks, Wolfram Alpha, GeoGebra, or Desmos are the right tools. These pages are for the numerical case — you know what formula applies and you want the answer for your specific inputs, shown clearly with the formula documented so you can verify the result yourself.
Full summary from any list of numbers — mean/median/mode, variance, stdev, Q1/Q3, IQR.
Central tendency at a glance — mean, median, mode from any list of numbers.
Z-score from value, mean, and stdev — plus the matching percentile under the normal distribution.
Compute nPr and nCr exactly (BigInt) — permutations care about order, combinations don't.
Compute Euclidean distance between two points in 2D or 3D — with step-by-step working.
Given any two sides of a right triangle, find the third via a² + b² = c² with step-by-step working.
Enter radius, diameter, circumference, or area — see all four at once with full π precision.
Metres, feet, miles, kilometres, yards, inches, nautical miles, light-years — bidirectional conversion.
mph, km/h, m/s, knots, ft/s, Mach — exact factors, Mach simplification flagged.
Celsius, Fahrenheit, Kelvin, Rankine — offset-aware conversion with absolute-zero warning.
Litres, gallons (US and UK distinct), cups, pints, fl oz, cubic metres, teaspoons.
Convert kg, lb, oz, g, stones, tonnes, and carats — exact factors, bidirectional.
Convert between 10 area units with exact factors. Quick picks for m² ↔ ft², acres ↔ hectares, km² ↔ mi².
Convert between 12 energy units with exact factors. Explicit food-kcal vs small-cal distinction.
Convert between 9 pressure units with exact factors. Quick picks for bar↔psi, atm↔kPa, mmHg↔kPa.
Convert decimal MB/GB/TB and binary MiB/GiB/TiB. Includes the why behind 'Windows shows a smaller number'.
Compute log base b of any value. Presets for log₁₀, ln, and log₂ — change-of-base handled internally.
Solve ax + b = c or ax + b = cx + d for x with step-by-step isolation — handles no-solution and infinite cases.
Solve 2×2 or 3×3 linear systems via Cramer's rule — step-by-step determinants, singular detection.
Solve ax² + bx + c = 0 with the quadratic formula — two real, one real, or two complex roots plus the discriminant.
Four percentage operations in one tool — find a percent of a number, find what percent one number is of another, calculate percent change, or reverse a percentage.
Calculate with fractions — add, subtract, multiply, or divide any two fractions and get the simplified result with decimal and mixed-number equivalents.
Simplify ratios to lowest terms, or solve a proportion for the missing value.
Compute powers and roots — integer, fractional, and negative exponents with clear descriptions.
Greatest common divisor and least common multiple of any list of integers — Euclidean algorithm, fast for large numbers.
Calculate the tip amount, total bill, and per-person share for any table size.
Check primality, list primes up to N, or factorise — fast trial division with 6k±1 skips, sieve up to 10M.
Convert 1 – 3999 to Roman numerals and back with canonical subtractive form (IV, IX, XL, XC).
Random integers in any range, with or without repeats — cryptographic entropy, unbiased rejection sampling.
Fair coin flips and polyhedral dice rolls (d4 through d100) with a persistent roll history.