Difference between revisions of "Empirical Rule"

From Practical Statistics for Educators
Jump to: navigation, search
(Created page with "== Empirical Rule (also known as the 68-95-99.7 Rule) == In a Normal Distribution with mean μ and standard deviation σ: *Approximately 68% of the observations fall within...")
 
(Empirical Rule (also known as the 68-95-99.7 Rule))
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
 
== Empirical Rule (also known as the 68-95-99.7 Rule) ==
 
== Empirical Rule (also known as the 68-95-99.7 Rule) ==
  
 +
[[File:Empirical_rule_wiki.png]]
  
 
In a Normal Distribution with mean μ and standard deviation σ:
 
In a Normal Distribution with mean μ and standard deviation σ:
Line 7: Line 8:
 
*Approximately 99.7% of the observations fall within 3σ of the mean μ.
 
*Approximately 99.7% of the observations fall within 3σ of the mean μ.
 
This result is known as the '''''empirical rule'''''.
 
This result is known as the '''''empirical rule'''''.
 +
 +
''contributed by Katie Ciskowski''
 +
 +
Reference:
  
 
Daren, S. S., & Tabor, J. (2020). ''Updated version of the practice of Statistics (Teachers Edition)'' (Sixth Edition). W H Freeman & CO LTD.
 
Daren, S. S., & Tabor, J. (2020). ''Updated version of the practice of Statistics (Teachers Edition)'' (Sixth Edition). W H Freeman & CO LTD.
 
''contributed by Katie Ciskowski''
 

Latest revision as of 20:04, 29 April 2022

Empirical Rule (also known as the 68-95-99.7 Rule)

Empirical rule wiki.png

In a Normal Distribution with mean μ and standard deviation σ:

  • Approximately 68% of the observations fall within σ of the mean μ.
  • Approximately 95% of the observations fall within 2σ of the mean μ.
  • Approximately 99.7% of the observations fall within 3σ of the mean μ.

This result is known as the empirical rule.

contributed by Katie Ciskowski

Reference:

Daren, S. S., & Tabor, J. (2020). Updated version of the practice of Statistics (Teachers Edition) (Sixth Edition). W H Freeman & CO LTD.