Is IQR affected by outliers?
Understand the Problem
The question is asking whether the interquartile range (IQR) is influenced or modified by outliers in a dataset. The IQR is a measure of statistical dispersion that describes the range between the first quartile (Q1) and the third quartile (Q3), and it is important to understand its robustness against outliers.
Answer
The IQR is not affected by outliers.
The final answer is the IQR is not affected by outliers.
Answer for screen readers
The final answer is the IQR is not affected by outliers.
More Information
The IQR, which measures the spread of the middle 50% of the data, remains unchanged by extreme values or outliers, unlike other measures like the range or standard deviation.
Tips
Common mistakes include confusing the IQR with the range, leading to the incorrect assumption that outliers impact it.
Sources
- Is the Interquartile Range (IQR) Affected By Outliers? - Statology - statology.org
- Does interquartile range get affected by outliers? | CK-12 Foundation - ck12.org
- Variance/standard deviation versus interquartile range (IQR) - stats.stackexchange.com
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