Question

A. What z-score would you have if you scored in the 77th percentile on a test?...

A. What z-score would you have if you scored in the 77th percentile on a test?

B. Michael gets a 55 on a test that has a mean of 60 and a standard deviation of 7. What is his z-score?

C. Michael gets a 55 on a test that has a mean of 60 and a standard deviation of 7. What is his percentile?

Math   Statistics-And-Probability   
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Answer #1

a). if you scored in the 77th percentile on a test, then the z score scored by you = 0.739

[ in any blank cell of excel type =NORMSINV(0.77) press enter]

b).michael's score (X) = 55

his z-score be:-

c). z score of Michael's score = -0.71

his percentile = 24

[ in any blank cell of excel type =NORMSDIST(-0.71) press enter

you will get 0.238852 0.2389

which indicates that(100*0.2389)= 23.89% of values are below the z score.

so. the percentile for the z score be: 23.89 th percentile or simply 24 th percentile.]

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible..

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