Median and quartiles
Quantiles use linear interpolation at index (n−1)p on the sorted data.
Statistics and probability ↗Statistics and probability calculators
25 calculators. Search or choose one below.
Calculators
Mode and frequency table
Reports every value tied for the highest frequency.
Statistics and probability ↗Variance and standard deviation
Sample variance divides squared deviations by n−1; population variance divides by n.
Statistics and probability ↗Percentile rank
Uses the count below the target plus half the tied count, divided by all observations.
Statistics and probability ↗Percentile value
Uses linear interpolation at sorted index (n−1)p.
Statistics and probability ↗Z-score
A z-score expresses signed distance from the mean in standard deviation units.
Statistics and probability ↗Normal distribution probability
Assumes a normal distribution.
Statistics and probability ↗Binomial probability
Independent Bernoulli trials with the same probability.
Statistics and probability ↗Poisson probability
Poisson model with a constant mean event rate and independent events.
Statistics and probability ↗Uniform distribution probability
A continuous uniform distribution on the specified finite interval.
Statistics and probability ↗Expected value
Probabilities must sum to one.
Statistics and probability ↗Bayes theorem
Uses Bayes’ theorem for a hypothesis and its complement.
Statistics and probability ↗Conditional probability
P(A given B) = P(A and B) / P(B).
Statistics and probability ↗Independent event combination
The product rules here require independent events.
Statistics and probability ↗Birthday coincidence
Assumes independent, uniformly distributed birthdays and ignores leap-day differences.
Statistics and probability ↗Dice sum probability
Fair independent dice with faces numbered from one.
Statistics and probability ↗Coin toss probability
Each toss is independent with the same entered head probability.
Statistics and probability ↗Sample mean confidence interval
Normal interval using a known population standard deviation and user-supplied critical z.
Statistics and probability ↗Proportion confidence interval
Wilson score interval for a binomial proportion.
Statistics and probability ↗Survey sample size
Large-population simple-random-sample approximation.
Statistics and probability ↗Margin of error
Normal approximation for a simple random sample, ignoring population correction and sampling design.
Statistics and probability ↗Pearson correlation
Measures linear association.
Statistics and probability ↗Simple linear regression
Ordinary least squares with an intercept.
Statistics and probability ↗Chi-square goodness of fit
Reports the chi-square statistic, degrees of freedom and an upper-tail p-value.
Statistics and probability ↗Welch two-sample t-test
Reports Welch t, degrees of freedom and a two-sided p-value; no automatic significance decision.
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