document.write( "Question 748210: 94, 68, 72, 88, 96, 88, 89, 97 whats the median \n" ); document.write( "
Algebra.Com's Answer #455368 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Original Data Set: 94, 68, 72, 88, 96, 88, 89, 97\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sorted Data Set: 68, 72, 88, 88, 89, 94, 96, 97\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Start with the list of numbers shown below\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "68, 72, 88, 88, 89, 94, 96, 97\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 8 values. This is an even number of values. So the median will be in between the two middle-most numbers (the median may or may not be in the list -- there are no guarantees).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "More specifically, the median will be in between the elements at slot numbers 4 and 5 (divide 8 in half to get 4).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means you can count 4 places over to get to the value of 88. The next number over is 89\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The median will be the average of the two values 88 and 89. So average them to get (88 + 89)/2 = (177)/2 = 88.5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or you can do it this way\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1) Start with the list of numbers shown below\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "68, 72, 88, 88, 89, 94, 96, 97\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2) Erase the outer pair of numbers (68 on the very left and 97 on the very right) to get the new list:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "72, 88, 88, 89, 94, 96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Repeat this until the list reduces to exactly two values.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3) Erase the outer pair of numbers (72 on the very left and 96 on the very right) to get the new list:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "88, 88, 89, 94\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4) Erase the outer pair of numbers (88 on the very left and 94 on the very right) to get the new list:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "88, 89\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We're left with exactly two numbers: 88 and 89. So we are done erasing values.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Average the two values to get (88 + 89)/2 = (177)/2 = 88.5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the median is 88.5 \n" ); document.write( " \n" ); document.write( " |