📊StatisticsDigit Distribution18 sec read

Benford's Law: Nearly 30% of Natural Real-World Numbers Begin With the Digit '1'

From river lengths to city populations and tax filings, the leading digit '1' appears 30.1% of the time, while '9' shows up only 4.6%.

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Statistics

🔢 Digit Distribution

Forensic Statistics & Scale Invariance

Key Metric+20 XP

Roughly what % of real-world numbers start with the digit '1'?

Your guess:0%
Key Insight

When people invent fake data, they tend to pick digits uniformly—violating Benford's logarithmic leading-digit curve.

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📊 Statistics

Digit Distribution

⚡ 18s60 words

Why / How?

01

Scientific Mechanism

First noticed in 1881 when astronomer Simon Newcomb saw that the early pages of shared logarithm books were far more worn than the back pages, Benford's Law emerges whenever quantities span multiple orders of magnitude. Forensic auditors still use it to spot fabricated financial records.

02

Why It Matters

When people invent fake data, they tend to pick digits uniformly—violating Benford's logarithmic leading-digit curve.

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Wolfram MathWorld — Benford's Law
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Test This Fact (Quick Quiz)+25 XP

Why do forensic auditors regularly run Benford's Law tests on financial statements?

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Quick Guess

Roughly what % of real-world numbers start with the digit '1'?

30%

Fact Check

Why do forensic auditors regularly run Benford's Law tests on financial statements?

To flag fabricated numbers where humans subconsciously overuse middle digits

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