Distributions And Plots calculators
33 calculators Binomial Distribution Calculator Calculate exact, cumulative and range binomial probabilities with full distribution table, skewness, excess kurtosis and step-by-step workings.
Open Chi-Square Calculator Calculate chi-square (χ²), p-value, critical value, degrees of freedom, and Cramer's V effect size for a goodness-of-fit test. Per-category breakdown shown.
Open Confidence Interval Calculator Calculate confidence intervals for a mean (z or t) or a proportion. Get bounds, margin of error, and the required sample size for any confidence level.
Open Normal Distribution Calculator Calculate z-scores, left/right-tail probabilities, between-values ranges, and reverse-solve for x from any probability. Includes PDF, percentile and step-by-step work.
Open Poisson Distribution Calculator Compute Poisson probabilities P(X=k), cumulative tails, and range P(x1 to x2). Scale by intervals, get std dev, view a full PMF table, and see worked steps.
Open Relative Frequency Calculator Convert class frequencies to relative frequencies, percentages, cumulative frequency, and cumulative percent. Get the mode, mean, and a full distribution table.
Open Benford's Law Calculator Test whether your dataset follows Benford's Law. Paste numbers for instant chi-square analysis, p-value, digit frequencies, and fraud-risk interpretation.
Open Beta Distribution Calculator Compute Beta distribution PDF, CDF, mean, variance, mode, and skewness. Enter alpha and beta shape parameters to get probabilities and step-by-step solutions instantly.
Open Box Plot Calculator Paste your data and instantly get the five-number summary (min, Q1, median, Q3, max), IQR, whisker fences, and outlier detection for any dataset.
Open Central Limit Theorem Calculator Calculate the standard error, z-score, and sampling probabilities using the Central Limit Theorem. Three modes: sampling stats, tail probability, and quantile.
Open Class Width Calculator Calculate histogram class width instantly from min, max and number of classes. Includes Sturges' rule suggestion, rounded class width, and a full class interval table.
Open Continuity Correction Calculator Continuity correction calculator: approximate binomial probabilities using the normal distribution. Enter n, p, and x to get the corrected z-score and probability.
Open Dot Plot Calculator Enter a comma-separated dataset to compute the mean, median, mode, range, and standard deviation for your dot plot. Includes a frequency table and distribution curve.
Open Empirical Rule Calculator Find the 68%, 95% and 99.7% intervals for any normal distribution. Enter your mean and standard deviation for instant results with a worked example.
Open Exponential Distribution Calculator Calculate exponential distribution probabilities - PDF, CDF, survival function, and interval probability. Get mean, variance, standard deviation, and a step-by-step breakdown.
Open Exponential Growth Prediction Calculator Predict future values using exponential growth. Enter an initial value, growth rate, and time period to get a final value, doubling time, and a full projection table.
Open Frequency Distribution Calculator Build a frequency distribution table instantly. Enter your data to get frequency, relative frequency, cumulative frequency, midpoint, mean, median, mode, and range.
Open Frequency Polygon Calculator Enter class midpoints and frequencies to plot a frequency polygon. Get mean, median class, mode class, standard deviation, and a cumulative frequency table instantly.
Open Geometric Distribution Calculator Calculate geometric distribution P(X=k), P(X≤k), P(X≥k), mean, variance, and standard deviation. Supports trials and failures convention with a visual PMF chart.
Open Histogram Calculator: Frequency Distribution and Statistics Paste your data and instantly get a histogram with bin counts, relative and cumulative frequencies, mean, median, standard deviation, skewness, kurtosis, and IQR.
Open Hypergeometric Distribution Calculator Calculate hypergeometric probabilities P(X=k), P(X<k), P(X<=k), P(X>k), P(X>=k), plus mean, variance, and standard deviation, with step-by-step working and a PMF chart.
Open Inverse Normal Distribution Calculator Find the x-value or z-score for any cumulative probability. Supports left, right, and two-tailed modes with any mean and standard deviation.
Open Lognormal Distribution Calculator Calculate lognormal PDF, CDF, P(X>x), quantiles and all statistical measures (mean, median, mode, variance, skewness). Enter mu and sigma for instant results.
Open Negative Binomial Distribution Calculator Calculate negative binomial probabilities - exact PMF, cumulative CDF in all four directions, mean, variance, and standard deviation with step-by-step workings.
Open Normal Probability Calculator for Sampling Distributions Find the probability a sample mean falls in any range. Enter mean, standard deviation, and sample size. Computes z-scores, standard error, and a full worked solution.
Open Pie Chart Calculator Enter up to 8 data values and get the percentage share and central angle for each slice. Includes a worked breakdown, donut visual, and step-by-step formulas.
Open Rayleigh Distribution Calculator Calculate the Rayleigh distribution PDF, CDF, quantile, mean, median, mode, variance, and skewness instantly. Enter sigma and x for a full statistical breakdown.
Open Sampling Distribution of the Sample Proportion Calculator Find the mean, standard error, z-scores, and tail probabilities for a sample proportion. Includes a CLT validity check, confidence interval, and step-by-step working.
Open SMp(x) Distribution Calculator Calculate the SMp(x) six-parameter probability distribution: density, CDF, mean, variance, mode, and tail probabilities. Supports any shape from uniform to skewed.
Open Stem and Leaf Plot Calculator Create a stem and leaf plot instantly from any dataset. Get the full plot, plus mean, median, mode, range, standard deviation, Q1, Q3, and IQR.
Open Uniform Distribution Calculator Calculate the PDF, CDF, mean, variance, and standard deviation for any continuous uniform distribution, plus P(X<=x), P(X>x), and interval probability.
Open Upper Control Limit (UCL) Calculator Calculate UCL and LCL for X-bar R, X-bar S, I-MR, p-chart, c-chart, and u-chart. Covers all six Shewhart control chart types with correct constants.
Open Weibull Distribution Calculator Calculate the Weibull PDF, CDF, survival function, hazard rate, quantile, mean, median, variance, and standard deviation. Choose the mode that fits your analysis.
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