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Glossary/Benford's law

What is Benford's law?

In short

Benford's law describes the expected frequency of leading digits in many naturally occurring data sets: 1 appears first about 30% of the time, and 9 less than 5% of the time.

Key takeaways

  • Auditors and analysts compare actual digit frequencies with the expected pattern to spot fabricated numbers.
  • It doesn't apply to assigned numbers (such as invoice numbers) or data with set limits.
  • A deviation points to where to look; it isn't proof of fraud.

Where it's tested

BAR: Data Analytics for Accounting — study notes, a five-minute revision sheet and practice questions.

Practise: 3 questions

Question 1 of 3 · 0 answered

Under Benford's law, approximately what share of naturally occurring numbers in a large data set begin with the digit 1?

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