Question 766657
if 35 is the median of the data set including 21, 7, 45, 33, 62 and x. then x is?
<pre>
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 {{{(33+45)/2}}} = 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 {{{(33+x)/2}}} which equals 35.

   {{{(33+x)/2}}} = 35

Clear of fractions by multiplying both sides by 2

   33 + x = 70

        x = 37.

Edwin</pre>