Guides

Geometric Mean Guides — Worked Examples, Formulas & Decision Rules

Practical guides for applying geometric mean to investment returns, population growth, index normalization, speed averaging, and statistical summaries — each with numeric worked examples, formula proofs, and common-mistake corrections.

Showing 1-12 of 13 guides

Math Basics 4/18/2026

Arithmetic Mean vs Geometric Mean

Arithmetic mean adds, geometric mean multiplies. See both worked on the same scores and the same investment returns, and learn which one your data needs.

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Ratios 3/12/2026

Using Geometric Mean with Ratios

Ratios are scale-relative, so one large value can dominate an arithmetic average. Geometric mean keeps ratio comparisons balanced — with worked examples.

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Indexes 2/26/2026

Geometric Mean for Index Values

Index values measure relative change, so they multiply rather than add. See how geometric mean keeps a rebased index honest across periods and categories.

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Statistics 1/28/2026

Geometric Mean vs Median

Both resist outliers, but they answer different questions. Geometric mean preserves the product; median finds the middle. See when each is the honest summary.

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Science 12/18/2025

Science Examples for Geometric Mean

Geometric mean in practice across the sciences: bacterial concentrations, dilution series, fold changes, and titre data, with the reasoning behind each case.

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Education 11/30/2025

Classroom Guide to Geometric Mean

A student-friendly guide to geometric mean: the formula, why 4 and 16 average to 8, the geometry link, practice questions, and the mistakes to watch for.

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Math Basics 11/12/2025

Common Geometric Mean Mistakes

Seven geometric mean mistakes that produce plausible but wrong answers — raw percentages, stray zeros, additive data — each with the fix and a worked check.

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Statistics 10/22/2025

The Log Method for Geometric Mean

Averaging logarithms then exponentiating gives the same geometric mean without overflow. See when the log method matters and how to apply it to weighted data.

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