Question

In distribution $25\%$ of the observations are less than $46$ and $25\%$ of the observations are more than $54$. The quartile deviation of the distribution is _______.

• A. $3$
• B. $7$
• C. $4$
• D. $6$

Answer 1

The correct option is C $4$

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 .

Q₁= 46 and Q₃=54

Quartile deviation = (Q₃-Q₁) /2

= (54-46)/2

= 8/2

= 4