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

Question

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

[Box plot image]

Answer Attempt 1 out of 3

Solution

To find the interquartile range (IQR) from the box plot, follow these steps: Identify the first quartile (Q1) value. This is the left edge of the box. Q1 is at 9. Identify the third quartile (Q3) value. This is the right edge of the box. Q3 is at 18. Calculate the interquartile range (IQR) using the formula: \[ \text{IQR} = Q3 - Q1 \] Substitute the values of Q1 and Q3 into the formula: \[ \text{IQR} = 18 - 9 \] Simplify the expression: \[ \text{IQR} = 9 \] The interquartile range of the data set is 9.