Answer: The interquartile range (IQR) of the data set 43, 16, 20, 6 is 20.
Explanation:
Step 1: Arrange the data in ascending order:
6, 16, 20, 43
Step 2: Find Q1 and Q3.
Q1 is the median of the lower half of the data set (6, 16). Q3 is the median of the upper half of the data set (20, 43).
Q1 = (6 + 16) / 2 = 22 / 2 = 11
Q3 = (20 + 43) / 2 = 63 / 2 = 31.5
Step 3: Calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 31.5 - 11 = 20.5