document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227164>Question 227164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Very difficult problem!<BR>\n" );
document.write( "1. For a particular sample of 50 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 52  Third quartile = 84 Standard deviation = 10  Range = 66<BR>\n" );
document.write( "Mean = 79   Median = 78   Mode = 81  Midrange = 65<BR>\n" );
document.write( "Answer each of the following; show all work.<BR>\n" );
document.write( "-          What score was earned by more students than any other score? Why? <BR>\n" );
document.write( "-          What was the highest score earned on the exam? <BR>\n" );
document.write( "-          What was the lowest score earned on the exam?<BR>\n" );
document.write( "-          According to Chebyshev's Theorem, how many students scored between 59 and 99?<BR>\n" );
document.write( "-          Assume that the distribution is normal.  Based on the Empirical Rule, how many students scored between 69 and 89? (Points: 10)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169186 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. For a particular sample of 50 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 52 Third quartile = 84 Standard deviation = 10 Range = 66<BR>\n" );
document.write( "Mean = 79 Median = 78 Mode = 81 Midrange = 65<BR>\n" );
document.write( "Answer each of the following; show all work.<BR>\n" );
document.write( "- What score was earned by more students than any other score? Why?<BR>\n" );
document.write( "Ans: mode = 81<BR>\n" );
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document.write( "- What was the highest score earned on the exam?<BR>\n" );
document.write( "Ans: median + (1/2)range = 78 + 33 = 111<BR>\n" );
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document.write( "- What was the lowest score earned on the exam?<BR>\n" );
document.write( "Ans: median - (1/2)range = 78-33 = 45<BR>\n" );
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document.write( "- According to Chebyshev's Theorem, how many students scored between 59 and 99?<BR>\n" );
document.write( "Ans: That is the number within 2 standard deviations which is 1-(1/2)2 = 3/4<BR>\n" );
document.write( "or 75% of the students<BR>\n" );
document.write( "--<BR>\n" );
document.write( "(3/4)*50 = 37.5 or, rounding up, 38 students<BR>\n" );
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document.write( "- Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 69 and 89? (Points: 10)<BR>\n" );
document.write( "Ans: 0.9545*50 = 47.72<BR>\n" );
document.write( "Rounding up you get 48 students<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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