Alan and Ben took different versions of a chemistry test. Alan scored 92% and Be

Question

Alan and Ben took different versions of a chemistry test. Alan scored 92% and Ben scored 87%. The test that Alan took had a mean of 78 and a standard deviation of 8.8. The exam that Ben took had a mean of 73 and a standard deviation of 10.2. Who did better relative to his peers?

Alan did better because Alan's z-score was higher than Ben's

Alan and Ben did equally well because Ben scored 14 points above his groups's mean, and so did Alan.

Ben did better because Ben's z-score was higher than Alan's

Alan did better because 92 is greater than 87

Explanation / Answer

as we know that z score=(X-mean)/std deviation

therefore Alan Z score =(92-78)/8.8 =1.59

and Ben;s Z score =(87-73)/10.2=1.37

therefore Alan did better because Alan's z-score was higher than Ben's

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