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Z-Score to Percentile Calculator
by Jeff Sauro | December 3, 2007 :: RSS Subscribe to RSS Feed of Measuring Usability Updates

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Enter a z-critical value and get the area under the normal curve (a proportion). Selecting two-sided provides the area above Z and below -Z. Selecting one side provides the area only above or below the Z-value. See also the interactive Graph of the Standard Normal Curve. To convert a percentage into a Z-Score use the Percentile to Z-Score Calculator.

 Shaded area is % of the area under the curve.Shaded area is % of the area under the curve.
Z-ScorePercent of Area100-Percent

Download this calculator in an excel file



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March 8, 2010 | Aditi M Sengupta wrote:
5. The Maine Education Assessment (MEA), a test completed annually by all students in the state in select grades, has M = 250 and SD = 50. What MEA score separates the upper 30% of the cases from the lower 70%?(EDPS 621, Eastern Michigan University, Winter, 2010)
 
March 3, 2010 | Janella annabella Shontella Ivonovich wrote:
math should go die.
 
March 3, 2010 | Percepicia wrote:
is there anyway you can show us how to actually do math problems??? and not just tell us the answer???? k. thanks. percepicia
 
January 26, 2010 | Stephanie wrote:
Thank you so much for this incredibly handy tool!It's so appreciated!
 
January 9, 2010 | anonomous wrote:
perfect.
 
November 12, 2009 | Peter Belamarich wrote:
great
 
November 6, 2009 | Kathy wrote:
The pictures are helpful--made me more certain I was using it correctly. I compared the answers to a z-table and both gave the same answer (for 1-sided), so I felt confident I was getting using the info correctly. I don't understand the statistics, just needed to be able to convert a Std Deviation Score to a Percentile for a market potential calculation.
 
September 30, 2009 | Sam wrote:
What was the formula that you used to find the area associated with each z-score?
 
May 28, 2009 | Tom wrote:
seen a couple people ask the same question, but i'm looking for an actual formula to convert the Z-scores to percentiles. can't find anywhere on the internet that has it.
 
April 17, 2009 | troy percival wrote:
i am writing a database and need to make calculations to turn z scores into percentages. I am enquiring if you can help me with the formula that operates the calculator. Many thanks
 
March 9, 2009 | Denise wrote:
for a population with a mean of 80 and standard deviation of 12, what is the z-score corresponding to x=71?
 
March 3, 2009 | Susan wrote:
6. An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232 b) a test score of 212
 
January 26, 2009 | anonomous wrote:
6. An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232
 
October 16, 2008 | Verena wrote:
Hi, I have been using your tool to calculate percentiles from z-score values. Until like a week ago, it worked perfectly fine, but now, when I enter a z-score of 3, one-sided, the value under 100% should be the higher one (in fact, it should be close to 99). Now, however, the higher number is being reported under the % of area section - how can that be?
 
September 11, 2008 | Ivy wrote:
Your MS class all took the practice clinical certification exam. The following is a listing of the raw scores that you and your friends received. Compute the z scores for these raw scores where the mean is 55 and the standard deviation is 2.5. What is a “z” score? What does it tell you? Scores: 60, 72, 48, 53, 56, 51, 50.5, 59.5 x (observation) = 8 mean = 55 standard deviation = 2.5 z = Observation - Mean Standard Deviation = 8 – 55 / 2.5 = - 18.8 I don't have a book to find the z score for -18.8. I am not even sure if that is possible to get a z score for -18.8. Thank you for your help.
 
June 24, 2008 | Cindy Searcy wrote:
How would I figure a z-score if the mean was 11.9, the std. deviation is .4 and I want to be 95% sure that a bag of chips did not weigh 12 Oz. as specified on bag, and I weighed 30 Bags?
 
May 15, 2008 | Alex wrote:
hey, can send me the formula that happens in the BG?
 
April 30, 2008 | Steve Kelner wrote:
I can't seem to do a negative z-score. Otherwise outstanding!
 
March 19, 2008 | Justin wrote:
I have a normal distribution of Homeruns per week with mean 8.3 and standard deviation of 1.1. My team is projected to hit 10 homeruns in a week while my opponent's team is projected to only hit 8. What is the likelyhood of my team hitting more homeruns during the coming week? I am guessing P(8