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    Question

    In a dataset, if the mean is significantly greater than

    the median, the distribution is most likely:
    A Symmetrical Correct Answer Incorrect Answer
    B Negatively skewed Correct Answer Incorrect Answer
    C Positively skewed Correct Answer Incorrect Answer
    D Normal Correct Answer Incorrect Answer
    E Uniform Correct Answer Incorrect Answer

    Solution

    • Skewness refers to the asymmetry of a distribution.
      • In a  symmetrical  (like normal) distribution, the mean, median, and mode are equal.
      • In a  positively skewed  (right-skewed) distribution, the tail on the right side is longer. A few extremely high values pull the  mean  toward the right tail, making it  greater than the median , which is more resistant to outliers.
      • In a  negatively skewed  (left-skewed) distribution, the mean is less than the median.
        Therefore, "mean > median" is a hallmark of positive skewness.

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