Question 476746
1. For a particular sample of 65 scores on a psychology exam, the following results were obtained.
First quartile = 42 Third quartile = 77 Standard deviation = 10 Range = 68
Mean = 65 Median = 68 Mode = 71 Midrange = 65
Answer each of the following:
I.What score was earned by more students than any other score? Why?:::mode = 71
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II. What was the highest score earned on the exam?::Mean+34 = 65+34 = 99
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III. What was the lowest score earned on the exam?:::Mean-34 = 65-34 = 31
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IV. According to Chebyshev's Theorem, how many students scored between 45 and 85?:::P(mean-2std) = (1/2)0.75 = 37.5%
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V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 35 and 95?
z(35) = (35-65)/10 = -3
Z(95) = (95-65)/10 = +3
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P(35< x < 95) = P(-3 < z < 3) = 0.9973
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Cheers,
Stan H.