A distribution where the mean is greater than the median is most likely?

When the mean of a distribution is greater than the median, it typically indicates that the distribution is right skewed. In a right-skewed distribution, the tail on the right side of the distribution is longer or fatter than on the left side. This means that there are a significant number of higher values dragging the mean upward, while the median, which is the middle value, remains less affected by these extreme high values.

In contrast, a symmetric distribution would have mean and median that are equal. In a left-skewed distribution, the opposite occurs: the mean would be less than the median due to the influence of lower values. Bimodal distributions can have multiple peaks, but their means and medians can vary widely depending on the data, and they do not inherently show a consistent relationship like skewness does. Thus, the characteristic of the mean being greater than the median strongly aligns with right skewness.