Question

The co-efficient of quartile deviation from the following observations is
$10,18,20,28,15,17,22,25,29,32,34$

• A. $0.26$
• B. $0.16$
• C. $0.06$
• D. $0.36$

Answer 1

The correct option is A $0.26$

Quartile deviation divides the series into four equal parts and measures the distance average between the third and the first quartile. The first quartile is denoted as Q₁ and the third quartile is denoted as Q₃ .

The coefficient of quartile deviation is found by dividing the difference between the first quartile and the third quartile by the sum between the first quartile and the third quartile.

In the given series, 10, 15,17,18,20,22,25,28,29,32,34.

Q₁= 17 and Q₃=29

Coefficient of quartile deviation =(Q₃-Q₁)/ (Q₃+Q₁)

= (29-17)/ (29+17)

= 12/46 = 0.26