Mean, Median, Mode Calculator
Paste a list of numbers to get mean, median, mode, range, and standard deviation instantly.
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.
Paste a list of numbers to get mean, median, mode, range, and standard deviation instantly.
Calculate sample and population standard deviation with variance and z-scores for each value.
Population and sample variance of a dataset, with the standard deviation shown alongside.
Compute the five-number summary (min, Q1, median, Q3, max), interquartile range, and 1.5×IQR outliers from a list of num...
Fit an ordinary least-squares regression line to two equal-length lists of numbers and report slope, intercept, r, and r...
Compute the lower and upper bounds of a confidence interval for a sample mean given the sample size, mean, standard devi...
Estimate the margin of error of a survey result from sample size, observed proportion, and confidence level.
Compute the Pearson correlation coefficient (r), r², and the slope/intercept of the best-fit line for two equal-length l...
Calculate the coefficient of variation (CV) — a unitless measure of dispersion that lets you compare the spread of data...
Calculates the z-statistic for comparing two sample means when population variances are known: z = (x̄₁ − x̄₂) / √(σ₁²/n...
Computes the Pearson correlation coefficient r from aggregate statistics without raw data: r = [nΣXY − ΣXΣY] / √{[nΣX² −...
Calculates the z-score: z = (X − μ) / σ, indicating how many standard deviations X is from the mean μ. Also computes the...
Constructs a confidence interval for a population mean using the z-distribution: CI = x̄ ± z* · (σ/√n). Common z* values...
Calculates sample variance s² = [Σx² − (Σx)²/n] / (n−1) and sample standard deviation s = √s² from the sum of squares, s...
Calculates x̄_w = Σ(w_i · x_i) / Σw_i for up to six value/weight pairs. Used in grade calculations, portfolio returns, a...
Calculates IQR = Q3 − Q1. Also computes the lower and upper fences for outlier detection: lower = Q1 − 1.5×IQR, upper =...
Calculates z-score z = (x − μ)/σ and approximate one-tailed percentile using the rational approximation of the standard...
Calculates F-ratio = MS_between / MS_within from sum of squares between and within groups. Returns F, degrees of freedom...
Calculates Kendall's tau τ = (C − D) / (n(n−1)/2), where C is concordant pairs and D is discordant pairs. Robust alterna...
Calculates OLS regression coefficients from summary statistics: slope b = Sxy/Sxx, intercept a = ȳ − b·x̄, R² = Sxy²/(Sx...
Calculates the interquartile range (IQR), Tukey lower/upper fences for outlier detection, and box-plot summary from Q1,...
Given Q1, median, Q3, min, and max, calculates IQR = Q3 − Q1, inner fences (Q1 − 1.5×IQR, Q3 + 1.5×IQR) for outlier dete...
Calculates the coefficient of variation (CV) as a percentage to compare variability between datasets with different mean...
Calculates the 10% trimmed mean (removes top 10% and bottom 10%) given n, overall mean, and the sum of the α-fraction va...