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From the following data , calculate Q(1)...

From the following data , calculate `Q_(1),Q_(3),D_(5)and P_(25)`.
`{:("S.No.",21,15,40,30,26,45,50,54,60,65,70):}`

Text Solution

Verified by Experts

The data is first arranged in ascending order :

`Q_(1)` = Size of `((N+1)/(4))` th item
= Size of `((11+1)/(4))` th item
= Size of 3rd item =26
`Q_(3)`= Size of 3`((N+1)/(4))`th item
= Size of 3 `((11+1)/(4))`th item
= Size of 9th item =60
`D_(5)` = Size of `5((N+1)/(10))` th item
= Size of `5((11+1)/(10))` th item
= Size of 6 th item =45
`P_(25)` = Size of `25((N+1)/(100))` th item
Size of `25((11+1)/(100))` th item
= Size of 3rd item =26
Thus ,`Q_(1)=26,Q_(3)=60,D_(5)=45,P_(25)=26`.
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