The quartile deviation of the following items: 12, 7, 15, 10, 16, 17, 25 is

Question

The quartile deviation of the following items: 12, 7, 15, 10, 16, 17, 25 is (A) 4.5 (B) 13.5 (C) 9 (D) 3.5

Tardigrade Admin · Accepted Answer

The given data in ascending order of magnitude is 7,10,12,15,16,17,25 Here, lower quartile Q 1=10, median =15 and upper quartile Q 3=17 ∴ Q ⋅ D .=( Q 3- Q 1/2) =(17-10/2)=3.5

Q. The quartile deviation of the following items : $12, 7, 15, 10, 16, 17, 25$ is

4.5

13.5

9

3.5

The given data in ascending order of magnitude is
$7, 10, 12, 15, 16, 17, 25$
Here, lower quartile $Q_{1} = 10$ ,
median $= 15$
and upper quartile $Q_{3} = 17$
$∴ Q \cdot D . = \frac{Q _{3} - Q _{1}}{2}$
$= \frac{17 - 10}{2} = 3.5$

Q. The quartile deviation of the following items : 12,7,15,10,16,17,25 is

4.5

13.5

9

3.5

The given data in ascending order of magnitude is 7,10,12,15,16,17,25 Here, lower quartile Q1​=10, median =15 and upper quartile Q3​=17 ∴Q⋅D.=2Q3​−Q1​​ =217−10​=3.5

Q. The quartile deviation of the following items : $12, 7, 15, 10, 16, 17, 25$ is

The given data in ascending order of magnitude is
$7, 10, 12, 15, 16, 17, 25$
Here, lower quartile $Q_{1} = 10$ ,
median $= 15$
and upper quartile $Q_{3} = 17$
$∴ Q \cdot D . = \frac{Q _{3} - Q _{1}}{2}$
$= \frac{17 - 10}{2} = 3.5$