document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664342>Question 664342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a particular sample of 63 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 47  Third quartile = 81 Standard deviation = 11  Range = 68<BR>\n" );
document.write( "Mean = 70   Median = 71   Mode = 77  Midrange = 55<BR>\n" );
document.write( "Answer each of the following:<BR>\n" );
document.write( "I.       What score was earned by more students than any other score? Why? <BR>\n" );
document.write( "II.     What was the highest score earned on the exam? <BR>\n" );
document.write( "III.    What was the lowest score earned on the exam?<BR>\n" );
document.write( "IV.     According to Chebyshev's Theorem, how many students scored between 48 and 92?<BR>\n" );
document.write( "V.       Assume that the distribution is normal.  Based on the Empirical Rule, how many students scored between 59 and 81? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413255 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=413255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a particular sample of 63 scores on a psychology exam, the following results were obtained.<BR>\n" );
document.write( "First quartile = 47 Third quartile = 81 Standard deviation = 11 Range = 68<BR>\n" );
document.write( "Mean = 70 Median = 71 Mode = 77 Midrange = 55<BR>\n" );
document.write( "Answer each of the following:<BR>\n" );
document.write( "I. What score was earned by more students than any other score?:::77 <BR>\n" );
document.write( "Why? 77 is the Mode<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "II. What was the highest score earned on the exam?:::<BR>\n" );
document.write( "Middle score is 71 and (1/2)Range = 34<BR>\n" );
document.write( "Ans: 71+34 = 105<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "III. What was the lowest score earned on the exam?<BR>\n" );
document.write( "Ans: 71-34 = 37<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "IV. According to Chebyshev's Theorem, how many students scored between 48 and 92? <BR>\n" );
document.write( "(48-70)/11 = -2<BR>\n" );
document.write( "(92-70)/11 = +2<BR>\n" );
document.write( "Cheb say \"at least 1-(1/2)^2 = 75% of the data lies in that interval\"<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 59 and 81?<BR>\n" );
document.write( "(59-70)/11 = -1<BR>\n" );
document.write( "(81-70)/11 = 1<BR>\n" );
document.write( "P(-1<= z <=1) = 0.6827 is approximately 68%<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" );