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

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

A.

​​​2020​​

B.

​​​3030​​

C.

4040​​

D.

​​​​​​​​​​​​​​​​​​​​​1010​​

Correct option is D

Given:
25% of items are less than 20
25% of items are more than 40
Formula used:
Quartile deviation = Q3Q12\frac{Q_3 - Q_1}{2}​​
Solution:
Since 25% of items are less than 20,
Q1=20Q_1 = 20​​
Since 25% of items are more than 40,
Q3=40Q_3 = 40​​
Quartile deviation
=40202=202=10= \frac{40 - 20}{2}= \frac{20}{2}= 10​​
The correct answer is (d) 10.

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