What is the formula to convert a z-score to its

George Bray

George Bray

Answered question

2022-06-24

What is the formula to convert a z-score to its appropriate percentile? I assume there is a formula.

Answer & Explanation

Dustin Durham

Dustin Durham

Beginner2022-06-25Added 31 answers

If z is the z-score, then you get the corresponding percentile p z by
p z = P ( Z z ) 100
Here x is the ceiling function x = min { p Z | p x } and Z N ( 0 , 1 ).
For example, you may find P ( Z z ) here for z = 1.2 and obtain that this score belongs to the 89 th percentile.

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