Question

The box plot represents a data set . What is the range of the middle 50% of the data?

Answer 1

Answer:

3

Step-by-step explanation:

The middle 50% of the data is represented by the box.

The range is the difference between the upper value and the lower value

upper value = 7 and lower value = 4

Range = 7 - 4 = 3

Answer 2

Answer: 3

Step-by-step explanation:

We know that the interquartile range is known as the range of the middle 50% of the data.

• Interquartile range is the difference between the third quartile and first quartile.

From the given box plot , the first quartile ( where box starts ) $Q_1= 4$

The third quartile  ( where box ends ) $Q_3= 7$

Then, the interquartile range = $Q_3-Q_1= 7-4=3$

Thus , the range of the middle 50% of the data =3