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Sarah scores an 85 on an (IQ) test with a mean of 94 and a standard...

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Statistics

Sarah scores an 85 on an (IQ) test with a mean of 94 and astandard deviation of 10. At what percentile rank is she withrespect to the rest of the population?

Please show work- thank you.

Answer & Explanation Solved by verified expert
4.4 Ratings (586 Votes)

µ =    94              
? =    10              
left tailed                  
P( X ?    85.000   )          
                  
Z =(X - µ ) / ? = (   85   -   94   ) /    10
Z =    -0.900              
P(X ?   85   ) = P(Z ?   -0.90   ) =   0.1841
excel formula for probability from z score is =NORMSDIST(Z)                  

her percentile is 18.41 th
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