Question: Score: 1/3 Penalty: 0.5 off Question The box plot below represents some data set. What is the…

Score: 1/3 Penalty: 0.5 off

Question

The box plot below represents some data set. What is the interquartile range (IQR) of the data?

[Box plot image]

Answer Attempt 3 out of 3

Solution

To find the interquartile range (IQR) from the box plot, we need to determine the values of the first quartile (Q1) and the third quartile (Q3). Identify Q1. From the box plot, Q1 is at 10. Identify Q3. From the box plot, Q3 is at 18. Calculate the IQR. The IQR is the difference between Q3 and Q1: \[ \text{IQR} = Q3 - Q1 = 18 - 10 = 8 \] Thus, the interquartile range (IQR) is 8.