How do I compare IQR and standard deviation?
An example of an AI chatbot conversation about comparing IQR and standard deviation.
What is the difference between IQR and standard deviation?
IQR (Interquartile Range) measures the spread of the middle 50% of data, while standard deviation measures overall data variability.
When should I use IQR instead of standard deviation?
Use IQR when your data has outliers or is skewed, as it is less affected by extreme values than standard deviation.
Can you give an example of when to use each?
Sure! For a dataset of test scores with a few very low scores, IQR would give a better sense of the typical performance than standard deviation.
What are the formulas for calculating IQR and standard deviation?
IQR is calculated as Q3 - Q1, where Q3 and Q1 are the third and first quartiles. Standard deviation is calculated using the formula: sqrt(sum((x - mean)^2) / N).
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