document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203772>Question 1203772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10. If the average of 5 positive integers is 70, what is the largest possible<BR>\n" );
document.write( "value of their median?<BR>\n" );
document.write( "(A) 70<BR>\n" );
document.write( "(B) 114<BR>\n" );
document.write( "(C) 116<BR>\n" );
document.write( "(D) 346 </SPAN>\n" );
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document.write( "The sum of the 5 numbers in the set is 5*70 = 350.<br><BR>\n" );
document.write( "To have the largest possible value for the median, you need to have<BR>\n" );
document.write( "(1) the two smallest numbers as small as possible; and<BR>\n" );
document.write( "(2) the three largest numbers (i.e., including the median) as close together as possible.<br><BR>\n" );
document.write( "The numbers are all positive integers, so we want the smallest two numbers to both be 1.<br><BR>\n" );
document.write( "That means the sum of the largest three numbers is 350-2 = 348.<br><BR>\n" );
document.write( "Three integers as close together as possible with a sum of 348 means each of the numbers must be 348/3 = 116.<br><BR>\n" );
document.write( "The five numbers are 1, 1, 116, 116, and 116.<br><BR>\n" );
document.write( "ANSWER: (C) 116<br><BR>\n" );
document.write( " </SPAN>\n" );
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