Answer: B - The IQR is the most resistant to extreme values.
Step-by-step explanation:
The Inter Quartile Range like the Range is used to measure the distance between data points in a data set. So the higher the IQR is, the further the data points are from each other. The reverse is true. It is calculated by subtracting the first quartile in the data set from the third quartile meaning that it represents the range between 50% of the data set.
The advantage of the IQR is that it is most resistant to outliers (extreme values) because it focuses on data points that are closer to the middle. This therefore gives a better reflection of the data set when there are outliers present.
For example, observe the following data set;
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 200
Interquartile range = Q3 - Q1
= 17 - 5
= 12
Range = 200 - 1
= 19
Notice how IQR is more reflective of the data set.
