Confidence Interval z-Critical Bounds Calculator
Calculates the confidence interval for a population mean from sample mean, known standard deviation, sample size, and co...
Calculators and explainers tagged under Statistics.
Calculates the confidence interval for a population mean from sample mean, known standard deviation, sample size, and co...
Compute the standard error of the mean (SEM) — how precisely the sample mean estimates the population mean — from a list...
Calculates Spearman's rank correlation coefficient rs from the sum of squared rank differences and number of observation...
Compute the lower and upper bounds of a confidence interval for a sample mean given the sample size, mean, standard devi...
Compute the posterior probability P(A|B) from the prior P(A), the likelihood P(B|A), and the false-positive rate P(B|¬A)...
Compute the range (max − min), along with the minimum, maximum, and count of a list of numbers.
Calculates the chi-square statistic for a 2×2 contingency table to test for independence between two categorical variabl...
Calculates the probability of winning a 7-point tennis tiebreak given the probability of winning any individual point.
Count how many ways to choose or arrange r items from a set of n — both nPr and nCr, with a short breakdown of why they...
Compute a weighted average from two equal-length lists of values and weights — useful for grades, weighted survey scores...
Calculates sample covariance Cov(X,Y) = [ΣXY − (ΣX)(ΣY)/n] / (n−1) and population covariance / (n). Also shows the sign...
Compute the mean absolute deviation (MAD) — the average absolute distance of each value from the mean — alongside the me...
Calculates the Absolute Percentage Error (APE) between a forecast and actual value, plus the mean APE (MAPE) if multiple...
Applies Chebyshev's inequality to give a distribution-free bound on the probability of a value lying more than k standar...
Calculates the confidence interval for a population proportion from sample proportion, sample size, and chosen confidenc...
Convert a raw value into a z-score using the mean and standard deviation of its distribution, and look up the correspond...
Compute the t-statistic and degrees of freedom for a one-sample t-test from the sample mean, the population mean under H...
Compute the arithmetic mean (average), along with the median, mode, sum, and range, of any comma-separated list of numbe...
Standard deviation is "average distance from the average". That one sentence covers 90% of everything you ever need to remember about it.