How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Calculate Square Properties: Area, Perimeter, and Diagonal
Learn to manually calculate the area, perimeter, and diagonal of any square. Understand the formulas with a step-by-step guide and worked examples.
Read guideHow to Calculate Rectangle Properties: Area, Perimeter, and Diagonal Step-by-Step Guide
Learn to manually calculate a rectangle's area, perimeter, and diagonal. Understand formulas, see worked examples, and avoid common errors.
Read guideHow to Calculate Geometry Measurements: Step-by-Step Guide
Learn geometry calculations
Read guideHow to Calculate Derangements: Step-by-Step Guide
Calculate derangements manually
Read guideCatalan Number Calculator: Step-by-Step Guide
Calculate nth Catalan number manually
Read guideHow to Calculate Stirling Numbers: Step-by-Step Guide
Calculate Stirling numbers manually
Read guideInclusion-Exclusion Principle Calculator: A Step-by-Step Guide
Learn to calculate union counts manually
Read guideHow to Calculate Fibonacci Numbers: Step-by-Step Guide
Learn to calculate Fibonacci numbers manually
Read guideHow to Calculate Pascal's Triangle: Step-by-Step Guide
Learn to calculate Pascal's Triangle manually
Read guideHow to Calculate Factorial n!: Step-by-Step Guide
Learn to calculate factorials manually
Read guideHow to Calculate Combinations (nCr): Step-by-Step Guide
Calculate combinations without replacement
Read guideHow to Calculate Histogram Data: Step-by-Step Guide
Learn to create frequency distribution and histogram data manually
Read guideHow to Calculate Combinations (nCr): Step-by-Step Guide
Learn to calculate combinations (nCr) by hand using the formula n! / (r! * (n-r)!). Includes a worked example, common pitfalls, and connection to Pascal's Triangle.
Read guideHow to Calculate Permutations with Replacement: Step-by-Step Guide
Learn to calculate permutations with replacement (nʳ) by hand! Understand the formula, work through examples, and avoid common mistakes.
Read guideHow to Calculate Combinations with Replacement: Step-by-Step Guide
Learn to calculate combinations with replacement (stars and bars formula) C(n+r-1, r) by hand. Includes examples, formula breakdown, and common pitfalls.
Read guideHow to Calculate Permutations (nPr): Step-by-Step Guide
Learn to calculate permutations (nPr) by hand. Understand the formula, work through a step-by-step example, and avoid common pitfalls. Order matters!
Read guideHow to Calculate Combinations and Permutations: Step-by-Step Guide
Learn to manually calculate combinations and permutations with step-by-step instructions, formulas, and examples. Understand when order matters!
Read guideHow to Calculate the Five-Number Summary for a Box Plot: Step-by-Step Guide
Learn to manually calculate the five-number summary (min, Q1, median, Q3, max) and IQR for a box plot. Includes examples and common pitfalls.
Read guideHow to Calculate Moving Averages Manually: SMA, EMA, and WMA
Learn to calculate Simple, Exponential, and Weighted Moving Averages step-by-step. Understand the formulas, see examples, and avoid common pitfalls.
Read guideHow to Calculate Covariance: Step-by-Step Guide
Learn to manually calculate population and sample covariance between two datasets (X and Y) with formulas, a worked example, and common pitfalls.
Read guideHow to Calculate Covariance: Step-by-Step Guide
Learn to manually calculate covariance between two datasets (X and Y) for both population and sample. Includes formulas, a worked example, and common pitfalls.
Read guideHow to Calculate Binomial Probability: Step-by-Step Guide
Learn to manually calculate binomial probability step-by-step. Understand the formula, work through an example, and avoid common pitfalls.
Read guideHow to Calculate Poisson Probability: Step-by-Step Guide
Learn to manually calculate Poisson probability for rare events. Understand the formula, worked examples, common pitfalls, and when to use a calculator.
Read guideHow to Calculate a Confidence Interval for the Mean: Step-by-Step Guide
Learn to calculate a confidence interval for the mean by hand. Understand the formula, t-distribution, and interpret your results with a step-by-step example.
Read guideHow to Calculate Percentile Rank: Step-by-Step Guide
Learn to manually calculate percentile rank for any score in a dataset. Understand the formula, follow a worked example, and avoid common pitfalls.
Read guideHow to Calculate the Harmonic Mean: Step-by-Step Guide
Learn to manually calculate the harmonic mean of any dataset. Understand the formula, see a worked example, and compare it with other means.
Read guideHow to Find F-Distribution Values: A Manual Guide for ANOVA
Learn to manually find F critical values and estimate p-values using F-tables for ANOVA hypothesis testing. Understand the F-distribution's role.
Read guideHow to Calculate the Least-Squares Regression Line by Hand: A Step-by-Step Guide
Learn to manually calculate the least-squares regression line (slope, intercept) and R-squared for any dataset, with formulas, examples, and common pitfalls.
Read guideHow to Calculate Z-Score Probability: Step-by-Step Guide
Learn to manually convert Z-scores to probabilities and percentiles using a Z-table. Understand the formula, worked examples, and common pitfalls.
Read guideHow to Calculate the Interquartile Range (IQR) and Five-Number Summary: Step-by-Step Guide
Learn to manually calculate the Interquartile Range (IQR) and the five-number summary step-by-step. Understand Q1, Q2, Q3, and how to identify outliers.
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