In a dataset, if the mean is significantly greater than the median, the distribution is most likely:

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.