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प्रश्न
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 \[\frac{x}{6}\] .
उत्तर
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
=3nd score
`= x/4`
But, it is given that the median is 6. Hence, we have
`x/4 = 6`
`⇒ x=6 xx4`
`⇒x/6 =4`
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