Question
In statistics, which measure of dispersion is not
affected by extreme values?Solution
- Measures of dispersion:
- Range: (Max - Min). Highly sensitive to extreme values.
- Variance & Standard Deviation: Based on squared deviations from the mean. The mean itself is sensitive to outliers, so these measures are also highly affected.
- Interquartile Range (IQR): Defined as Q3 - Q1 (the range of the middle 50% of the data). Since it only uses the data between the 25th and 75th percentiles, it completely ignores the values in the lowest 25% and the highest 25% . This makes it a robust statistic that is resistant to the influence of extreme values or outliers .
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