Question

If the median of scores \[\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}\]  and \[\frac{x}{6}\]  (where x > 0) is 6, then find the value of \[\frac{x}{6}\] .

 

 

 

 

 

 

Answer 1

Given that the median of the scores\[\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}\]  and \[\frac{x}{6}\] , where x > 0 is 6. The number of scores n is 5, which is an odd number. We have to find `x/6`

Note that the scores are in descending order. Hence the median is

`((n+1)/2)^(th)` score

`= ((5+1)/2)^(th)` score

=3^nd score

`= x/4`

But, it is given that the median is 6. Hence, we have

`x/4 = 6`

`⇒ x=6 xx4`

`⇒x/6 =4`