Combinatorics and Statistics Calculators
Permutations and Combinations Calculator (nPr, nCr)
Combinatorics calculator: the number of permutations, arrangements (nPr) and combinations (nCr), with and without repetition, with formula and solution.
Mean Calculator: Arithmetic, Weighted, Geometric, Harmonic
Find the arithmetic, weighted, geometric and harmonic mean of numbers with a step-by-step solution. Exact answer in fractions.
Factorial Calculator: n! and Double Factorial
Calculate the factorial n! and double factorial n!! exactly, with all digits, up to n = 1000. Number of digits, trailing zeros, Stirling formula.
Statistics Calculator: Median, Mode, Variance, Standard Deviation
Descriptive statistics of a data set: mean, median, mode, range, quartiles, variance and standard deviation, frequency table and chart.
Expected Value and Variance Calculator, Binomial Distribution
Expected value, variance and standard deviation of a discrete random variable, Bernoulli formula and binomial distribution with a solution.
P-Value Calculator: Z, T and Chi-Square
P-value from a z, t or chi-square statistic for one- and two-tailed tests, with a conclusion at the significance level.
Probability Calculator: A and B, A or B, Conditional Probability
Probability of an event, addition and multiplication rules, conditional probability and "at least once", solved step by step.
Grade Calculator: What Grade Do I Need?
Find the grade or the number of top marks needed to reach a target average, with the solution.
Z-Score Calculator: Standard Score and Percentile
Z-score of a value, percentile and normal probabilities, value from z and calculation from a sample.
Sample Size Calculator for Surveys
Sample size from confidence level, margin of error and population size, plus the margin of error for a known sample.
Confidence Interval Calculator: Mean and Proportion
Confidence interval for a mean or a proportion at the 90, 95 or 99% level, from summary data or a sample, with the solution.
Correlation and Linear Regression Calculator: Least Squares
The Pearson coefficient, the linear regression equation and a plot of the points and the line.
Permutation Calculator: Inverse, Inversions, Cycles and Order
The inverse permutation, inversions and parity, the cycle decomposition and the order of a permutation.
Binomial Theorem and Pascal’s Triangle Calculator
The expansion of a binomial and rows of Pascal’s triangle with exact coefficients.
Combinatorial Equation Solver: Combinations and Permutations
Equations with combinations, arrangements and permutations where the unknown is a natural number n.
Combinatorics, probability and statistics calculators solve problems step by step: factorials, permutations, arrangements and combinations, means, median, mode, variance and standard deviation of a data set, the expected value of a random variable and Bernoulli trial probabilities. Large numbers are shown exactly and fractions are not rounded.
- Factorial — n! and n!! exactly, up to n = 1000.
- Combinatorics — permutations, arrangements and combinations, with and without repetition.
- Mean — arithmetic, weighted, geometric and harmonic.
- Descriptive statistics — median, mode, quartiles, variance, standard deviation.
- Expected value — discrete random variable and binomial distribution.
- Probability — Probability of an event, addition and multiplication rules, conditional probability and "at least once", solved step by step.
- Grade Needed — Find the grade or the number of top marks needed to reach a target average, with the solution.
- Z-Score — Z-score of a value, percentile and normal probabilities, value from z and calculation from a sample.
- Confidence Interval — Confidence interval for a mean or a proportion at the 90, 95 or 99% level, from summary data or a sample, with the solution.
- P-Value — P-value from a z, t or chi-square statistic for one- and two-tailed tests, with a conclusion at the significance level.
- Sample Size — Sample size from confidence level, margin of error and population size, plus the margin of error for a known sample.