document.write( "Question 711486: What is the missing data if the mean is 60, the mode 52 and the range 28 in the following data set ---,52,---,---,72,78. HOW WOULD i SOLVE THIS? \n" ); document.write( "
Algebra.Com's Answer #437437 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "One of the missing numbers nust be another 52 in order to make\r\n" ); document.write( "the mode be 52.\r\n" ); document.write( "\r\n" ); document.write( "So the numbers so far are 52,52,72,78\r\n" ); document.write( " \r\n" ); document.write( "Those have sum 254. The sum of all 6 must be 360 in order for the mean\r\n" ); document.write( "of the 6 numbers to be 60. So the remaining two have to have sum 360-254 \r\n" ); document.write( "or 106.\r\n" ); document.write( "\r\n" ); document.write( "One of them cannot be larger than 78, because that would\r\n" ); document.write( "make the remaining one have to be smaller than 106-78 or 28, making the \r\n" ); document.write( "range larger than 78-28 or 50. BUt the range is 28, So 78 is the largest\r\n" ); document.write( "value, To make the range 28, the smallest number must be 78-28 or 50. \r\n" ); document.write( "And that makes the trmaining number 106-50 or 56.\r\n" ); document.write( "\r\n" ); document.write( "So the numbers are\r\n" ); document.write( "\r\n" ); document.write( "50, 52, 52, 56 72, 78. The missing ones are 52, 50, and 56\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |