document.write( "Question 1025318: What number can you add to the data set to change the median by 3?\r
\n" ); document.write( "\n" ); document.write( "15 21 25 41 46 54 54 62 65 86 93 \n" ); document.write( "

Algebra.Com's Answer #640606 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Right now the median of the data is 54 (the average of the two 54's).
\n" ); document.write( "Adding a value less than 54 will then cause you to average the 6th value and the first 54. So that value will be less than 54.
\n" ); document.write( "You need it to be 3 different from 54 or 51.
\n" ); document.write( "So,
\n" ); document.write( " $\"%28X%2B54%29%2F2=51\"$
\n" ); document.write( " $\"X%2B54=102\"$
\n" ); document.write( " $\"X=48\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Adding a value greater than 54 now causes you to average the 6th and 7th value which are both 54. So the median will remain at 54.
\n" ); document.write( "You cannot add any value that will give you a median of 57.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );