Answer:
If a dataset is skewed to the right, it means that the tail of the distribution extends towards the higher values. In such cases, the mean tends to be greater than the median.
To understand why this happens, consider that the mean is calculated by summing up all the values in the dataset and dividing by the number of values. When the dataset is skewed to the right, the larger values in the tail pull the mean towards higher values, resulting in an increased mean.
On the other hand, the median is the middle value in an ordered dataset. Since the tail of the distribution is populated with larger values, the median remains relatively unaffected. It may be closer to the lower end of the dataset, but it is not pulled as strongly towards the higher values as the mean.
In summary, when a dataset is skewed to the right, the mean tends to be greater than the median.