Juan is a statistics student who wants to compare his final exam score to his fr

Question

Juan is a statistics student who wants to compare his final exam score to his friend Naomi's final eram score from last year; however, the two exams were scored on different scales (because they had diffienent professors). Juan asks Naomi for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information: Juan: Final exam score = 85; Class: M = 70; SD = 10. Naomi: Final exam score = 45; Class: M = 35: SD-5. In relation to the other people in their classes, who had the better exam score? Explain how you

Explanation / Answer

Ans:

We can compare the performance by calculating percentiles for both,as percentile indicate the performance relative to others.

z=(x-mean)/std. dev

Juan:

z=(85-70)/10=1.5

P(Z<=1.5)=0.9332

Percentile=93.32%

Naomi:

z=(45-35)/5=2

P(Z<=2)=0.9772

Percentile=97.72%

As,percentile of Naomi is higher than Juan,so Naomi had the better exam score relative to others.

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