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How to find percentile with mean and standard deviation

User Barney Stinson
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1 Answer

10 votes
10 votes

Explanation:

Step 1

Subtract the mean from your score. For example, if you scored 33 and the mean is 24, you would get a difference of 9.

Step 2

Divide the difference found in Step 1 by the standard deviation of the data to find the z-score, which is the number of standard deviations away from the mean that your score is. For example, if the standard deviation was 4.5, you would have a z-score of 2.

Step 3

Convert the z-score to a percentile using a z-score chart or converter available online (see Resources section). When converting, be sure to use a one-sided test. For example, a z-score of 2 would be in the 98th percentile.

User Allisone
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2.3k points