document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193247>Question 1193247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Erika’s teacher summarized the achievement test results of her class in the table below. If Erika belongs to this class and her score is 76, does she belong to the upper 25% of her class? Justify your answer.\r<BR>\n" );
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document.write( "Score   f<BR>\n" );
document.write( "90-99   3<BR>\n" );
document.write( "80-89   4<BR>\n" );
document.write( "70-79   6<BR>\n" );
document.write( "60-69   11<BR>\n" );
document.write( "50-59   8<BR>\n" );
document.write( "40-49   5<BR>\n" );
document.write( "30-39   3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825247 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=825247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Add up all the scores in the column labeled \"f\"<BR>\n" );
document.write( "3+4+6+11+8+5+3 = 40<BR>\n" );
document.write( "There are 40 students total in the class.\r<BR>\n" );
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document.write( "The group 90-99 represents the top 3 students<BR>\n" );
document.write( "3/40 = 0.075 = 7.5%<BR>\n" );
document.write( "Meaning that students in this group are the top 7.5% of the class.<BR>\n" );
document.write( "In other words, 7.5% of the scores are 90 or above, while the bottom 92.5% scores are 30 through 89.\r<BR>\n" );
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document.write( "The first two groups combine to 3+4 = 7 students<BR>\n" );
document.write( "They represent the top 7/40 = 0.175 = 17.5% of the class\r<BR>\n" );
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document.write( "The first three groups combine to 3+4+6 = 13 students<BR>\n" );
document.write( "They represent the top 13/40 = 0.325 = 32.5% of the class\r<BR>\n" );
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document.write( "It's fairly clear that 25% is between 17.5% and 32.5%, which indicates that it's <i>possible</i> that the score of 76 represents the cut off point between the top 25% and the bottom 75%<BR>\n" );
document.write( "However, there isn't a full guarantee because the 25th percentile marker may be another value in the interval 70-79\r<BR>\n" );
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document.write( "Answer: It's possible, but we don't have enough info to guarantee it.<BR>\n" );
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