Question

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

The mean and median are always very close together and not affected by the skew.
The mean and median are always very close together and not affected by the skew.

The mean and median differ, but not because of the direction and amount of skew.
The mean and median differ, but not because of the direction and amount of skew.

The mean and median differ, based on the direction and amount of the skew.
The mean and median differ, based on the direction and amount of the skew.

The mean is always less than the median, regardless of the direction and amount of skew.

Answer 1

The correct answer is: "The mean and median differ, based on the direction and amount of the skew."

Explanation: Skew pulls the mean toward the long tail. In a right (positive) skew the mean > median; in a left (negative) skew the mean < median. The larger the skew, the larger the difference.