Statistics & Data Calculators & Tools
Interactive descriptive statistics, probability distributions, regression models, hypothesis testing, and inferential estimation analysis calculators. Aligned with AP Statistics, College Biostatistics, Business Analytics, Econometrics, and Machine Learning quantitative foundations.
Mean Calculator (Arithmetic, Weighted & Trimmed)
Calculate sample mean, population mean, and central tendency measures of numerical datasets
Median Calculator
Find the middle value and robust 50th percentile of sorted datasets
Mode Calculator
Identify most frequent values, unimodal, bimodal, and multimodal distribution peaks
Range Calculator
Calculate total statistical dispersion and difference between maximum and minimum values
Variance Calculator (Sample & Population)
Calculate sample variance s² (with Bessel’s correction n-1) and population variance σ²
Standard Deviation Calculator (s & σ)
Compute sample standard deviation s and population standard deviation σ with deviation steps
Z-Score Calculator (Standard Normal Score)
Standardize values into Z-scores and find exact percentile positions on the normal distribution
Percentile Calculator
Calculate k-th percentiles and percentile rankings using empirical cumulative distribution functions
Quartile Calculator (Q₁, Q₂, Q₃)
Calculate First Quartile (Q₁), Median (Q₂), and Third Quartile (Q₃) for 5-number summaries
IQR Calculator (Interquartile Range & Outliers)
Calculate Interquartile Range (Q₃ - Q₁) and detect outliers using Tukey’s 1.5×IQR fences
Pearson Correlation Coefficient Calculator (r)
Calculate Pearson product-moment correlation coefficient r and determine relationship strength
Covariance Calculator (Sample & Population)
Calculate joint variability Cov(X, Y) between two random variables
Regression Calculator
Perform linear regression analysis with slope, intercept, and predictive evaluations
Linear Regression Calculator (ŷ = mx + b)
Calculate slope m, y-intercept b, line equation, and predict future y values
R-Squared Calculator (Coefficient of Determination)
Calculate R² to quantify the percentage of variance explained by the regression model
Probability Calculator (AND / OR Rules)
Calculate joint probability P(A ∩ B), union P(A ∪ B), and conditional probabilities
Normal Distribution Calculator (Gaussian Bell Curve)
Calculate cumulative normal distribution CDF P(X ≤ x) and standard normal probabilities
Binomial Distribution Calculator (B(n, p))
Calculate exact and cumulative binomial probabilities for n independent Bernoulli trials
Poisson Distribution Calculator
Model rare discrete events occurring independently at constant average rate λ
P-Value Calculator (Hypothesis Significance)
Calculate two-tailed and one-tailed p-values from Z, T, and Chi-Square test statistics
Student’s T-Test Calculator (One-Sample & Two-Sample)
Perform one-sample and two-sample Student's t-tests for small sample hypothesis testing
Z-Test Calculator
Perform hypothesis Z-tests for large sample sizes with known population standard deviation
Chi-Square Test Calculator (χ² Goodness of Fit)
Perform Pearson’s Chi-Square test of independence and goodness-of-fit for categorical distributions
One-Way ANOVA Calculator (F-Test)
Perform Analysis of Variance (ANOVA) to compare means across three or more treatment groups
Confidence Interval Calculator
Calculate 90%, 95%, and 99% confidence intervals for population means with margin of error
Margin of Error Calculator
Calculate sampling margin of error for surveys and opinion polls
Sample Size Calculator (Cochran’s Formula)
Determine minimum required sample size for research surveys and clinical studies
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