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Question: If 25% of the item are less than 20 and 25% are more than 40, the quartile deviation is...

If 25% of the item are less than 20 and 25% are more than 40, the quartile deviation is

A

20

B

30

C

40

D

10

Answer

10

Explanation

Solution

Here, we are given that the lower quartile Q1=20Q_{1} = 20 and the upper quartile Q3=40Q_{3} = 40

Hence quartile deviation Q3Q12=40202=202=10\frac{Q_{3} - Q_{1}}{2} = \frac{40 - 20}{2} = \frac{20}{2} = 10.