When comparing the means and medians of skewed data, which of the following is correct?(1 point)

Responses

The mean and median are sometimes the same.
The mean and median are sometimes the same.

The mean and median are never the same.
The mean and median are never the same.

The mean is always greater than the median.
The mean is always greater than the median.

The mean and median are always the same.

1 answer

When comparing the means and medians of skewed data, the correct response is:

The mean and median are sometimes the same.

In skewed distributions, the mean is typically pulled in the direction of the skew (to the right for right-skewed distributions and to the left for left-skewed distributions), but there are also instances where the mean and median can be equal, particularly in certain distributions or sample sets. Thus, while they often differ in skewed data, they can occasionally be the same.