Theorem for sample of scores on psychology exam

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For a particular sample of 77 scores on a psychology exam, the following results were obtained.

First quartile = 44 Third quartile = 71 Standard deviation = 6 Range = 45

Mean = 64 Median = 57 Mode = 92 Midrange = 60

I. What score was earned by more students than any other score? Why?

II. What was the highest score earned on the exam?

III. What was the lowest score earned on the exam?

IV. According to Chebyshev's Theorem, how many students scored between 40 and 88?

V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 46 and 82?

Please show all of your work.

Reference no: EM1398939

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