Benford's law

1 9.6

A rule saying many lists of numbers have small first digits, with 1 appearing most, used to find fraud

noun
/ˈbɛn.fərdz lɔ/

Specialized

: la ley de Benford

Benford's law is often used to detect fraudulent financial data by examining how often each leading digit appears.

Examples

According to Benford's law, the number 1 appears as the leading digit most often.
The accountant applied Benford's law to the company's expense records to check for irregularities.
Many datasets, such as electricity bills and addresses, naturally follow Benford's law.
Many data sets follow Benford's law quite closely.
Benford's law helps forensic accountants identify unusual patterns in financial reports.
According to Benford's law, the number 1 is expected to be the leading digit in many datasets.
Analysts often rely on Benford's law when validating large sets of numerical data.

Surface Forms

Benford's law singular

Benford's laws plural

Morphology

Benford's + law

This is a named scientific principle: the possessive proper name 'Benford's' gives no semantic clue about leading-digit distributions, and 'law' only signals a general rule. A B1 learner who knows the words 'Benford's' (as a name) and 'law' would not be able to derive the specific statistical meaning, so the expression is idiomatically opaque.

Etymology

The rule Benford's law is named after a scientist who noticed a simple pattern in many real-life lists of numbers: they often start with small digits, especially 1, rather than each digit being equally common. Because real data usually follow this pattern, checking whether numbers match Benford's law can help find 'fraud' or 'fake' records.