What is the difference between IQR and range?
An example of an AI chatbot conversation about the difference between IQR and range.
What is the difference between IQR and range?
The range is the difference between the maximum and minimum values in a dataset, while IQR (Interquartile Range) measures the middle 50% of the data.
Can you explain how to calculate IQR?
Sure! To calculate IQR, first find the first quartile (Q1) and the third quartile (Q3). Then, subtract Q1 from Q3: IQR = Q3 - Q1.
Why is IQR considered more robust than range?
IQR is more robust because it is not affected by outliers, while the range can be significantly influenced by extreme values.
Can you give an example of both IQR and range?
Absolutely! For the dataset {1, 2, 3, 4, 100}, the range is 99 (100 - 1), and the IQR is 2 (Q3=4, Q1=2, so IQR=4-2).
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