Final answer:
The interquartile range (IQR) of the data set is 3.5.
Step-by-step explanation:
The interquartile range (IQR) of a data set is the difference between the third quartile (Q3) and the first quartile (Q1). To find the IQR of the data set, you need to arrange the data points in ascending order:
4, 5, 6, 8, 9, 10, 11, 13
In this case, Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half. Q1 = (6 + 8)/2 = 7, and Q3 = (10 + 11)/2 = 10.5. Therefore, the IQR = Q3 - Q1 = 10.5 - 7 = 3.5.