If the median of $\frac{x}{5},x,\frac{x}{4},\frac{x}{2}$ and $\frac{x}{3}$ (where $x > 0$) is 8, then the value of $x$ will be
Answer & explanation
Correct answer: option 1
We have,
The median of $\frac{x}{5},x,\frac{x}{4},\frac{x}{2}$ and $\frac{x}{3}$ = 8
Arrange the above data in descending order,
\(\frac{x}{5}\), \(\frac{x}{4}\), \(\frac{x}{3}\), \(\frac{x}{2}\), x
The median is the middle term = \(\frac{x}{3}\)
\(\frac{x}{3}\) = 8
x = 24