Can you explain what IQR is and why it's important in statistics?
IQR stands for Interquartile Range, which measures the spread of the middle 50% of data. It's important because it helps identify outliers and gives a better sense of data variability than the range.
How do you calculate the IQR?
To calculate the IQR, first find the first quartile (Q1) and the third quartile (Q3). Then, subtract Q1 from Q3: IQR = Q3 - Q1.
What are some advantages of using IQR over standard deviation?
IQR is less affected by outliers and skewed data, making it a more robust measure of variability for non-normally distributed data.
Can you give an example of IQR in a dataset?
Sure! If you have the dataset: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], Q1 is 3.5 and Q3 is 8.5, so IQR = 8.5 - 3.5 = 5.
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