SOLUTION: Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test. What do these numbe

Algebra ->  Probability-and-statistics -> SOLUTION: Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test. What do these numbe      Log On


   



Question 720799: Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test. What do these numbers mean? Can we determine Joey's z-scores for his math and reading performances? Why or why not?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test.
What do these numbers mean?
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95th %ile means Joey's national test is better than 97% other who took the test.
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72%ile mean his math test results are better than 72% others who took the test.
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Can we determine Joey's z-scores for his math and reading performances?
Why or why not?
Yes
The z-score for 97%ile is invNorm(0.97) = 1.8808
The z-score fo 72%ile is invNomr(0.72) = 0.5828
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Cheers,
Stan H.