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

Statistics

Solution:

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 $Q _{3}=17$
$\therefore Q \cdot D .=\frac{ Q _{3}- Q _{1}}{2}$
$=\frac{17-10}{2}=3.5$