document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242761>Question 242761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a particular sample of 50 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 39  Third quartile = 71 Standard deviation = 10  Range = 62<BR>\n" );
document.write( "Mean = 62   Median = 61   Mode = 68  Midrange = 69<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  42 and 82?<BR>\n" );
document.write( "-          Assume that the distribution is normal.  Based on the Empirical Rule, how many students scored between 42 and 82? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177717 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=177717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a particular sample of 50 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 39 Third quartile = 71 Standard deviation = 10 Range = 62<BR>\n" );
document.write( "Mean = 62 Median = 61 Mode = 68 Midrange = 69<BR>\n" );
document.write( "Answer each of the following; show all work.<BR>\n" );
document.write( "============================================================<BR>\n" );
document.write( "- What score was earned by more students than any other score? Why?<BR>\n" );
document.write( "Mode = 68<BR>\n" );
document.write( "----------------------------- <BR>\n" );
document.write( "- What was the highest score earned on the exam?<BR>\n" );
document.write( "Median + (1/2)range = 61+31 = 92<BR>\n" );
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document.write( "- What was the lowest score earned on the exam?<BR>\n" );
document.write( "Median - (1/2)range = 61-31 = 30<BR>\n" );
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document.write( "- According to Chebyshev's Theorem, how many students scored between 42 and 82?<BR>\n" );
document.write( "(42-62)/10 = -2 ; (82-62)/10 = 2<BR>\n" );
document.write( "Within 2 std's of the mean you have at least 1-(1/2)^2 = 75% of the data<BR>\n" );
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document.write( "- Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 42 and 82?<BR>\n" );
document.write( "P(42 < x < 82) = P(-2 < z < 2 ) = 0.9545<BR>\n" );
document.write( "0.9545*50 = 47.72<BR>\n" );
document.write( "Rounding up you get 48<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );