Statistics calculators

Probability, sampling, and descriptive statistics made readable.

Means, medians, standard deviations, confidence intervals, and sample size planning — with formulas and worked examples for each tool.

Calculators

Topics: All Descriptive (29) Probability (35)

Statistics / Probability

Type II Error Rate (Beta) from Power Calculator

Calculates type II error rate β = 1 − power, type I error rate α, and the four outcomes of a hypothesis test with their...

basic

21,867 4.4 1 min

Statistics / Probability

Erlang B and C Queueing Theory Calculator

Calculates the Erlang B formula for call blocking probability and Erlang C for probability of queuing in a M/M/c telepho...

basic

18,221 4.8 1 min

Statistics / Probability

Discrete Uniform Distribution Probability Calculator

Calculates probability mass, mean μ = (a+b)/2, variance σ² = (n²−1)/12, and P(X ≤ k) for a discrete uniform distribution...

basic

2,825 4.8 1 min

Statistics / Probability

Law of Total Probability from Conditional Probabilities Calculator

Calculates the total probability of event B using the law of total probability: P(B) = P(B|A₁)·P(A₁) + P(B|A₂)·P(A₂) + P...

basic

7,945 4.9 1 min

Statistics / Probability

Chebyshev's Probability Bound Calculator

Applies Chebyshev's inequality to give a distribution-free bound on the probability of a value lying more than k standar...

basic

15,866 4.6 1 min

Statistics / Probability

Odds Ratio and Relative Risk from 2×2 Table Calculator

Calculates odds ratio OR = (a·d)/(b·c) and relative risk RR = (a/(a+b)) / (c/(c+d)) from a 2×2 exposure/outcome continge...

basic

15,232 3.9 1 min

Statistics / Probability

Bayes Theorem Posterior Update Calculator

Applies Bayes' theorem to update a prior probability with new evidence, outputting the posterior probability and likelih...

basic

4,180 4.6 1 min

Statistics / Probability

Log-Normal Distribution Mean and Variance Calculator

Calculates the log-normal mean E[X] = exp(μ+σ²/2), median exp(μ), mode exp(μ−σ²), and variance (e^(σ²)−1)·e^(2μ+σ²) from...

basic

15,696 4.1 1 min

Statistics / Probability

Expected Value Discrete Distribution Calculator

Calculates the expected value (mean) and variance of a discrete probability distribution from up to six outcome-probabil...

basic

3,981 4.4 1 min

Statistics / Probability

Bayes' Theorem Posterior Probability Calculator

Applies Bayes' theorem: P(H|E) = P(E|H)·P(H) / [P(E|H)·P(H) + P(E|¬H)·P(¬H)]. Used in medical testing, spam filtering, a...

basic

7,984 4.0 1 min

Statistics / Probability

Cantelli One-Sided Probability Bound Calculator

Applies the Cantelli inequality: P(X − μ ≥ kσ) ≤ 1/(1+k²), a tighter one-sided bound than Chebyshev. Also computes the t...

basic

21,435 4.5 1 min

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Means, medians, standard deviations, confidence intervals, and sample size planning — with formulas and worked examples for each tool.

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Statistics calculators

Type II Error Rate (Beta) from Power Calculator

Erlang B and C Queueing Theory Calculator

Discrete Uniform Distribution Probability Calculator

Law of Total Probability from Conditional Probabilities Calculator

Chebyshev's Probability Bound Calculator

Odds Ratio and Relative Risk from 2×2 Table Calculator

Bayes Theorem Posterior Update Calculator

Log-Normal Distribution Mean and Variance Calculator

Expected Value Discrete Distribution Calculator

Bayes' Theorem Posterior Probability Calculator

Cantelli One-Sided Probability Bound Calculator