document.write( "Question 341672: In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
\n" ); document.write( "A. Doubling each number
\n" ); document.write( "B. Increasing each number by 10
\n" ); document.write( "C. Increasing the smallest number only
\n" ); document.write( "D. Decreasing the largest number only
\n" ); document.write( "E. Increasing the largest number only \n" ); document.write( "
Algebra.Com's Answer #244660 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
\n" ); document.write( "
\r\n" );
document.write( "Let's say we had these 11 numbers in order smallest to largest:\r\n" );
document.write( "\r\n" );
document.write( "2, 5, 7, 8, 12, 14, 18, 20, 24, 35, 57\r\n" );
document.write( "\r\n" );
document.write( "then the median is the middle number, 14, which I have\r\n" );
document.write( "colored red.\r\n" );
document.write( "

\n" ); document.write( "A. Doubling each number
\n" ); document.write( "
\r\n" );
document.write( "Let's double each number and see:\r\n" );
document.write( "\r\n" );
document.write( "4, 10, 14, 16, 24, 28, 36, 40, 48, 70, 114\r\n" );
document.write( "\r\n" );
document.write( "No, the median is affected, it changed from 14 to 28. So A is not\r\n" );
document.write( "a correct choice.\r\n" );
document.write( "

\n" ); document.write( "B. Increasing each number by 10
\n" ); document.write( "
\r\n" );
document.write( "Let's increase each number by 10\r\n" );
document.write( "\r\n" );
document.write( "12, 15, 17, 18, 22, 24, 28, 30, 34, 45, 67\r\n" );
document.write( "\r\n" );
document.write( "No, the median is affected, it changed from 14 to 24. So B is not\r\n" );
document.write( "a correct choice.\r\n" );
document.write( "

\n" ); document.write( "C. Increasing the smallest number only
\n" ); document.write( "
\r\n" );
document.write( "Let's increase the smallest number, 2, to 4\r\n" );
document.write( "\r\n" );
document.write( "4, 5, 7, 8, 12, 14, 18, 20, 24, 35, 57\r\n" );
document.write( "\r\n" );
document.write( "Yes, the median is not affected, for it is still 14.  So C IS a\r\n" );
document.write( "correct choice.\r\n" );
document.write( "

\n" ); document.write( "D. Decreasing the largest number only
\n" ); document.write( "
\r\n" );
document.write( "Let's decrease the largest number, 57, to 44\r\n" );
document.write( "\r\n" );
document.write( "2, 5, 7, 8, 12, 14, 18, 20, 24, 35, 44\r\n" );
document.write( "\r\n" );
document.write( "Yes, the median is not affected, for it is still 14.  So D IS a\r\n" );
document.write( "correct choice.\r\n" );
document.write( "

\n" ); document.write( "E. Increasing the largest number only
\n" ); document.write( "
\r\n" );
document.write( "Let's increase the largest number, 57, to 68\r\n" );
document.write( "\r\n" );
document.write( "2, 5, 7, 8, 12, 14, 18, 20, 24, 35, 68\r\n" );
document.write( "\r\n" );
document.write( "Yes, the median is not affected, for it is still 14.  So E IS a\r\n" );
document.write( "correct choice.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );