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Find the quartile deviation of the follo...

Find the quartile deviation of the following discrete series.
`{:(x,8,10,13,16,19,22),(f,4,7,8,3,5,4):}`

A

`3.5`

B

`6`

C

`5`

D

`4.5`

Text Solution

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The correct Answer is:
D
`{:(x,f,"Less than cumulative"),(,," ""Frequency"),(8,4," "4),(10,7," "11),(13,8," "19),(16,3," "22),(19,5," "27),(22,4," "31):}`
N = 31
`Q_(1)` = size of `((n + 1))/(4)`th item = `8th` item = `10.`
`Q_(3)` = size of `(3(n + 1))/(4)`th item = `24th` item = `19.`
`QD = (Q_(3) - Q_(1))/(2) = (19-10)/(2) = 4.5`.
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