SOLUTION: if 35 is the median of the data set including 21, 7, 45, 33, 62 and x. then x is?

Question 766657: if 35 is the median of the data set including 21, 7, 45, 33, 62 and x. then x is?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
if 35 is the median of the data set including 21, 7, 45, 33, 62 and x. then x is?

Since there are 6 data members, an even number, the median is
the average of the 2 in the middle. Since when we put the 5 
given data members in numerical order, 

7, 21, 33, 45, 62

 the average of 33 and 45 is  = 39 and not 35, so 45
cannot be the next higher data value than 33, so x has to be the
next data value higher than 33, so in order they are:

7, 21, 33, x, 45, 62

Therefore the median is  which equals 35.

    = 35

Clear of fractions by multiplying both sides by 2

   33 + x = 70

        x = 37.

Edwin

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