Random-Number Guessing and the First Digit Phenomenon
- 1 June 1988
- journal article
- research article
- Published by SAGE Publications in Psychological Reports
- Vol. 62 (3) , 967-971
- https://doi.org/10.2466/pr0.1988.62.3.967
Abstract
To what extent do individuals “absorb” the empirical regularities of their environment and reflect them in behavior? A widely-accepted empirical observation called the First Digit Phenomenon or Benford's Law says that in collections of miscellaneous tables of data (such as physical constants, almanacs, newspaper articles, etc.), the first significant digit is much more likely to be a low number than a high number. In this study, an analysis of the frequencies of the first and second digits of “random” six-digit numbers guessed by people suggests that people's responses share some of the properties of Benford's Law: first digit 1 occurs much more frequently than expected; first digit 8 or 9 occurs much less frequently; and the second digits are much more uniformly distributed than the first.Keywords
This publication has 10 references indexed in Scilit:
- Can people behave "randomly?": The role of feedback.Journal of Experimental Psychology: General, 1986
- How to beat the massachusetts numbers gameThe Mathematical Intelligencer, 1981
- The Distribution of Leading Digits and Uniform Distribution Mod 1The Annals of Probability, 1977
- An explanation of the first digit phenomenonJournal of Combinatorial Theory, Series A, 1976
- The Peculiar Distribution of First DigitsScientific American, 1969
- On the Distribution of First Significant FiguresThe American Mathematical Monthly, 1969
- On the Probability that a Random Integer has Initial Digit AThe American Mathematical Monthly, 1966
- Response preferences: A review of some relevant literature.Psychological Bulletin, 1964
- Response-Tendencies in Attempts to Generate Random Binary SeriesThe American Journal of Psychology, 1960