Question

What is the interquartile range of the survey of ages of participants? I included a picture.

Answer 1

What is the interquartile range?

A 10

B 20 ✓

• lower half = 25
• upper half = 45
• IQR = upper half - lower half
• IQR = 45-25
• IQR = 20

C 40

D 45

Answer 2

B. 20

Explanation:

The given diagram shows a box plot.

A box plot is a graphical representation of the distribution of a dataset.

In a box plot, the box represents the interquartile range (IQR), with the lower edge of the box indicating Q1 and the upper edge indicating Q3. The length of the box corresponds to the IQR.

From observation of the given box plot:

• Q1 = 25
• Q3 = 45

Therefore, the interquartile range (IQR) is:

IQR = Q3 - Q1

IQR = 45 - 25

IQR = 20