document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253786>Question 253786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the least and greatest numbers in a list of 7 real numbers are  2 and   20 ,respectively. the median of the list is 6, and the number 3 occurs most often in the list which of the following could be the average (arithmetic mean ) of the numbers in the list\r<BR>\n" );
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document.write( "I. 7<BR>\n" );
document.write( "II 8.5<BR>\n" );
document.write( "III 10\r<BR>\n" );
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document.write( "(A)I only  (B) I and II only   (C) I and III only<BR>\n" );
document.write( "(D) II  and  III only   (E)  I, II, and III<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 #186132 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=186132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the least and greatest numbers in a list of 7 real numbers are 2 and 20 ,respectively. the median of the list is 6, and the number 3 occurs most often in the list which of the following could be the average (arithmetic mean ) of the numbers in the list<BR>\n" );
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document.write( "Model of the list of 7 numbers:<BR>\n" );
document.write( "2..3,3...6.x..y....20<BR>\n" );
document.write( "Why?<BR>\n" );
document.write( "6 is the median so it is in the middle of the list.<BR>\n" );
document.write( "There are 3 numbers to the left and 3 numbers to the right of 6<BR>\n" );
document.write( "2 is to the left of 6 and 3 is the mode so there must be two 3's<BR>\n" );
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document.write( "20 is to the right of 6 so there must be two numbers that are 7 to 19<BR>\n" );
document.write( "and are not the same.  Their average is between (7+8)/2 = 7.5 and<BR>\n" );
document.write( "(18+19)/2 = 37/2 = 18.5.<BR>\n" );
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document.write( "The average of the 2+3+3+6+20 = 34/5 is 6.8<BR>\n" );
document.write( "Combining 6.8 with 7.5 gives an average of (14.3/2) = 7.15<BR>\n" );
document.write( "Combining 6.8 with 18.5 gives an average of (25.3/2) = 12.65<BR>\n" );
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document.write( "Question: Which of the following could be the average (arithmetic mean ) of the numbers in the list?<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "I. 7<BR>\n" );
document.write( "II 8.5<BR>\n" );
document.write( "III 10 <BR>\n" );
document.write( "(A)I only (B) I and II only (C) I and III only<BR>\n" );
document.write( "(D) II and III only (E) I, II, and III<BR>\n" );
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