Question
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 is always greater than the median.
The mean is always greater than the median.
The mean and median are never the same.
The mean and median are never the same.
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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 is always greater than the median.
The mean is always greater than the median.
The mean and median are never the same.
The mean and median are never the same.
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Answers
GPT-4o mini
In the context of skewed data, the correct response is:
**The mean and median are sometimes the same.**
In a skewed distribution, the mean is typically pulled in the direction of the skew (to the right for right-skewed data and to the left for left-skewed data), while the median is a measure of central tendency that is less affected by outliers and skewness. Therefore, while they may be equal in some cases (for example, if the distribution is symmetric), they are not always equal, and generally, the mean will differ from the median.
**The mean and median are sometimes the same.**
In a skewed distribution, the mean is typically pulled in the direction of the skew (to the right for right-skewed data and to the left for left-skewed data), while the median is a measure of central tendency that is less affected by outliers and skewness. Therefore, while they may be equal in some cases (for example, if the distribution is symmetric), they are not always equal, and generally, the mean will differ from the median.