Expected Value Discrete Distribution Calculator
Calculates the expected value (mean) and variance of a discrete probability distribution from up to six outcome-probabil...
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.
Calculates the expected value (mean) and variance of a discrete probability distribution from up to six outcome-probabil...
Computes the OLS regression slope b₁ = [nΣXY − ΣXΣY] / [nΣX² − (ΣX)²] and intercept b₀ = (ΣY − b₁ΣX) / n from five summa...
Compute the range (max − min), along with the minimum, maximum, and count of a list of numbers.
Calculates the number of standard deviations (z-score) that a value X is from the mean, and the raw score from a given z...
Compute the percentile rank of a chosen value within a list of numbers — the percentage of values that fall at or below...
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...
Applies the Cantelli inequality: P(X − μ ≥ kσ) ≤ 1/(1+k²), a tighter one-sided bound than Chebyshev. Also computes the t...