document.write( "Question 1143714: S=( 11,12,13,14,15). The median of the set S is equal to the mean of the set T, which consists of 11 consecutive positive integers. What is the largest integer of the set T?
\n" ); document.write( "A)19
\n" ); document.write( "B)18
\n" ); document.write( "C)17
\n" ); document.write( "D)16
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Algebra.Com's Answer #764587 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "median= the average of the first and the last terms\r
\n" ); document.write( "\n" ); document.write( "S=( 11,12,13,14,15).
\n" ); document.write( "\"median=%2811%2B15%29%2F2=13\"\r
\n" ); document.write( "\n" ); document.write( "The median of the set S is equal to the mean of the set T, which consists of 11 consecutive positive integers. What is the largest integer of the set T?\r
\n" ); document.write( "\n" ); document.write( "mean of the set T=\"13\"\r
\n" ); document.write( "\n" ); document.write( "mean= median\r
\n" ); document.write( "\n" ); document.write( "the sum of the elements = the mean * # of elements
\n" ); document.write( "the sum of the elements = \"13+%2A11=143\"
\n" ); document.write( "the sum of the \"11+\"consecutive positive integers:
\n" ); document.write( "\"x%2Bx%2B1%2Bx%2B2%2Bx%2B3%2Bx%2B4%2Bx%2B5%2Bx%2B6%2Bx%2B7%2Bx%2B8%2Bx%2B9%2Bx%2B10=11x%2B55\"
\n" ); document.write( "\"11x%2B55=143\"
\n" ); document.write( "\"11x=143-55\"
\n" ); document.write( "\"11x=88\"
\n" ); document.write( "\"x=8\"............smallest integer in the set T, \r
\n" ); document.write( "\n" ); document.write( "then the \"largest\" integer of the set T is \"8%2B10=18\"\r
\n" ); document.write( "\n" ); document.write( "check the median\r
\n" ); document.write( "\n" ); document.write( "\"%288%2B18%29%2F2=36%2F2=13\"->which is true\r
\n" ); document.write( "\n" ); document.write( "so, answer is \"B\") \"18\"\r
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