Equation to approximate percent likelyhood of different sigma events

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SUMMARY

The discussion focuses on finding an algebraic equation to approximate the percentage likelihood of different sigma events based on standard deviation values. Users reference the standard normal distribution, where 1 sigma corresponds to approximately 68.27% and 3 sigma to about 99.73%. The conversation highlights the need for a simple formula that avoids calculus, suggesting that the error function can be utilized for approximations. A specific resource is provided: the Wikipedia page on the error function's approximation with elementary functions.

PREREQUISITES
  • Understanding of standard deviation and its significance in statistics
  • Familiarity with the normal distribution curve
  • Basic algebraic manipulation skills
  • Knowledge of the error function and its applications
NEXT STEPS
  • Research the properties of the standard normal distribution
  • Learn about the error function and its approximations
  • Explore algebraic methods for estimating probabilities in statistics
  • Investigate other statistical distributions and their sigma event probabilities
USEFUL FOR

Statisticians, data analysts, students studying probability theory, and anyone interested in approximating likelihoods of sigma events without calculus.

jaydnul
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Hi!

I was wondering if there was an equation to plug in a standard deviation value and get back approximately the percent likely hood of getting that sigma (for example 1 sigma would be 33%, 3 sigma 0.27%, etc).

Just something that approximates it with algebra, no calculus

Thanks!
 
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