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Question
If the median of `x/5,x/4,x/2,x and x/3`, where x > 0, is 8, find the value of x.
Hint Arranging the observations in ascending order, we have `x/5,x/4,x/3,x/2,x Median= x/3=8.`
Solution
Arranging the observations in ascending order, we have
`x/5,x/4,x/3,x/2,x`
๐โ๐ข๐ ,๐กโ๐ ๐๐๐๐๐๐ ๐๐ `x/3`
โน`x/3=8`
โน ๐ฅ=3×8
โน ๐ฅ=24
Thus, the value of x is 24.
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