SOLUTION: iNEED HELP AGAIN BUT THIS IS THE MODE AND MEDIAN IN FINDING THE MISSING NUMBER 7,22,14,14,22,26,N MODE=14 MEDIAN=14

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Question 62914: iNEED HELP AGAIN BUT THIS IS THE MODE AND MEDIAN IN FINDING THE MISSING NUMBER
7,22,14,14,22,26,N MODE=14 MEDIAN=14

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
 HELP AGAIN BUT THIS IS THE MODE AND MEDIAN IN FINDING THE 
MISSING NUMBER ,22,14,14,22,26,N MODE=14 MEDIAN=14


Without the N the set of data has two modes, 14 and 22, since the
modes are all numbers that are contained the most number of times.
Since we are given that 14 is the ONLY mode, we need at least one 
more 14, so there will be more 14's than 22's.  So let's try 14 for
N and see if the data also has a median of 14 as well. So 

   7 22 14 14 22 26 N 

becomes

   7 22 14 14 22 26 14 

which DOES have 14 as the mode.  But
we must see if 14 is also the median.
So we arrange these in ascending order

   7 14 14 14 22 22 26

There is an odd number of numbers, so
the median is the middle number, or
the 4th number, 14.  So we see that
the median is also 14, so N = 14

Edwin


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