In many datasets, numbers begin with 1 more often than 9. It sounds like nature has a favorite digit, but scale is doing the work.
Benford’s law predicts that a leading digit d appears with probability log₁₀(1 + 1/d). That gives a first digit of 1 about 30% of the time, while 9 appears about 4.6%. The pattern can arise when data span several orders of magnitude and are reasonably smooth on a logarithmic scale.
Imagine a quantity growing at a steady percentage rate: doubling from 100 to 200 takes longer than growing from 900 to 1,000. It therefore spends more time beginning with 1. Across many scales, this uneven digit time accumulates. But the rule is not universal: assigned ID numbers and tightly bounded measurements need not follow it.