Question 1
Multiple ChoiceA sample of 100 investment funds has been grouped into quintiles based on their total net assets (in USD billions). The breakdown is shown below:
Bin | Cumulative % of Sample | Lower Bound | Upper Bound | Number of Observations |
|---|---|---|---|---|
1 | 20 | 0.35 | 8.10 | 20 |
2 | 40 | 8.10 | 19.45 | 20 |
3 | 60 | 19.45 | 33.70 | 20 |
4 | 80 | 33.70 | 56.88 | 20 |
5 | 100 | 56.88 | 84.62 | 20 |
What is the interquartile range of this sample?
Explanation
The interquartile range (IQR) is calculated as the difference between the upper bound of the third quartile (Q3) and the lower bound of the second quartile (Q1).
Q1 (end of 1st quartile) = Upper bound of Bin 2 = 19.45
Q3 (start of 4th quartile) = Lower bound of Bin 4 = 56.88
Therefore,
IQR = 56.88 − 19.45 = 37.43