document.write( "Question 476746: 1. For a particular sample of 65 scores on a psychology exam, the following results were obtained.
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document.write( "First quartile = 42 Third quartile = 77 Standard deviation = 10 Range = 68
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document.write( "Mean = 65 Median = 68 Mode = 71 Midrange = 65
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document.write( "Answer each of the following:
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document.write( "I. What score was earned by more students than any other score? Why?
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document.write( "II. What was the highest score earned on the exam?
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document.write( "III. What was the lowest score earned on the exam?
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document.write( "IV. According to Chebyshev's Theorem, how many students scored between 45 and 85?
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document.write( "V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 35 and 95?
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document.write( "Please show all of your work. \r
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document.write( "Thank you so much \r
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Algebra.Com's Answer #326908 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. For a particular sample of 65 scores on a psychology exam, the following results were obtained. \n" ); document.write( "First quartile = 42 Third quartile = 77 Standard deviation = 10 Range = 68 \n" ); document.write( "Mean = 65 Median = 68 Mode = 71 Midrange = 65 \n" ); document.write( "Answer each of the following: \n" ); document.write( "I.What score was earned by more students than any other score? Why?:::mode = 71 \n" ); document.write( "--------------------- \n" ); document.write( "II. What was the highest score earned on the exam?::Mean+34 = 65+34 = 99 \n" ); document.write( "--------------------- \n" ); document.write( "III. What was the lowest score earned on the exam?:::Mean-34 = 65-34 = 31 \n" ); document.write( "------------------------ \n" ); document.write( "IV. According to Chebyshev's Theorem, how many students scored between 45 and 85?:::P(mean-2std) = (1/2)0.75 = 37.5% \n" ); document.write( "------------------------ \n" ); document.write( "V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 35 and 95? \n" ); document.write( "z(35) = (35-65)/10 = -3 \n" ); document.write( "Z(95) = (95-65)/10 = +3 \n" ); document.write( "--- \n" ); document.write( "P(35< x < 95) = P(-3 < z < 3) = 0.9973 \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |