Question 664342: For a particular sample of 63 scores on a psychology exam, the following results were obtained.
First quartile = 47 Third quartile = 81 Standard deviation = 11 Range = 68
Mean = 70 Median = 71 Mode = 77 Midrange = 55
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 48 and 92?
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 59 and 81?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For a particular sample of 63 scores on a psychology exam, the following results were obtained.
First quartile = 47 Third quartile = 81 Standard deviation = 11 Range = 68
Mean = 70 Median = 71 Mode = 77 Midrange = 55
Answer each of the following:
I. What score was earned by more students than any other score?:::77
Why? 77 is the Mode
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II. What was the highest score earned on the exam?:::
Middle score is 71 and (1/2)Range = 34
Ans: 71+34 = 105
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III. What was the lowest score earned on the exam?
Ans: 71-34 = 37
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IV. According to Chebyshev's Theorem, how many students scored between 48 and 92?
(48-70)/11 = -2
(92-70)/11 = +2
Cheb say "at least 1-(1/2)^2 = 75% of the data lies in that interval"
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V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 59 and 81?
(59-70)/11 = -1
(81-70)/11 = 1
P(-1<= z <=1) = 0.6827 is approximately 68%
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Cheers,
Stan H.
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