Question

What is the range of the middle 50% of data a. 2 b. 3 c. 6.5 d. 8

Answer 1

The correct option is:   b. 3

Explanation

Middle 50% data means the "Interquartile Range" which is measured as the difference between the third quartile$(Q_{3})$ and the first quartile$(Q_{1})$ in a data set.

In the given box plot, we can see that:    $Q_{1}= 4$ and $Q_{3}= 7$

So, the Interquartile range, $IQR= Q_{3}-Q_{1} = 7-4= 3$

Thus, the range of the middle 50% of data will be 3.