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 never the same.
The mean and median are never 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.
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 never the same.
The mean and median are never 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.
Answers
GPT-4o mini
In the context of skewed data, the correct response is:
**The mean and median are sometimes the same.**
In skewed distributions, the mean is typically pulled in the direction of the skew (to the right in positively skewed data and to the left in negatively skewed data), while the median remains more resistant to extreme values. However, in some specific cases, such as when the skew is mild or symmetrical, the mean and median can end up being the same. Therefore, it's not accurate to say they are always the same or never the same.
**The mean and median are sometimes the same.**
In skewed distributions, the mean is typically pulled in the direction of the skew (to the right in positively skewed data and to the left in negatively skewed data), while the median remains more resistant to extreme values. However, in some specific cases, such as when the skew is mild or symmetrical, the mean and median can end up being the same. Therefore, it's not accurate to say they are always the same or never the same.