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      Question

      In statistics, which measure of dispersion is not

      affected by extreme values?
      A Range Correct Answer Incorrect Answer
      B Variance Correct Answer Incorrect Answer
      C Standard Deviation Correct Answer Incorrect Answer
      D Interquartile Range Correct Answer Incorrect Answer
      E Coefficient of Variation Correct Answer Incorrect Answer

      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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