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

Step-by-step 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.