For a particular sample of 54 scores on a psychology exam, the following results were obtained.

First quartile = 38 Third quartile = 70 Standard deviation = 9 Range = 58

Mean = 59 Median = 64 Mode = 65 Midrange = 67

Answer each of the following:

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 23 and 95?

V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 50 and 68?

Please show all of your work. (Points : 10)

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