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 affected by extreme values and therefore may differ from the median. However, in specific cases (such as a symmetric skew), the mean and median can be the same. In general, for skewed data (specifically positively or negatively skewed), the mean tends to be pulled in the direction of the skew. Thus, while they can sometimes be the same, it is not guaranteed.

Question

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 affected by extreme values and therefore may differ from the median. However, in specific cases (such as a symmetric skew), the mean and median can be the same. In general, for skewed data (specifically positively or negatively skewed), the mean tends to be pulled in the direction of the skew. Thus, while they can sometimes be the same, it is not guaranteed.

GPT-4o mini · 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 affected by extreme values and therefore may differ from the median. However, in specific cases (such as a symmetric skew), the mean and median can be the same. In general, for skewed data (specifically positively or negatively skewed), the mean tends to be pulled in the direction of the skew. Thus, while they can sometimes be the same, it is not guaranteed.