For Exercises 96–99, consider whether the scenarios are possible. If it is possible, then clearly describe what the data set would look like. If it is not possible, explain why.

Question 3.354

99. A scenario where the IQR is negative

3.4.99

Not possible. Q1, the 25th percentile, will always be less than or equal to Q3, the 75th percentile. Thus the IQR = Q3 – Q1 is always greater than or equal to zero.