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

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

The mean is always greater than the median.

1 answer

When dealing with skewed data, the correct statement is:

The mean and median are sometimes the same.

In skewed distributions, the mean is often affected more by extreme values than the median, resulting in them being different. However, in certain cases (e.g., a symmetrical distribution with no skew), the mean and median can be the same. Therefore, it's most accurate to say they are sometimes the same.