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

Responses

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

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

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.

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 and median are typically not the same, but in some cases, they can be equal, especially if there are no extreme values affecting the data. However, it's more common for skewed data to have a mean that is greater than (in positively skewed distributions) or less than (in negatively skewed distributions) the median.