Question
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 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 is always greater than the median.
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GPT-4o mini
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.
**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.
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