Question

question 10
which measure of the center (mean or median) is appropriate to use when comparing data with outliers? why?
the mean is more appropriate, because it usually changes less than the median when comparing data with and without outliers.
the median is more appropriate, because it usually changes less than the mean when comparing data with and without outliers.
the median is more appropriate, because neither the number nor the magnitude of outliers has any effect on the calculated value of the median.
the mean is more appropriate, because it is easier to calculate when there are outliers present than the median is.
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Explanation:

The mean is sensitive to outliers, as extreme values pull it toward them, making it an unrepresentative measure of center. The median, which is the middle value of ordered data, is far less affected by outliers: adding or changing outliers has a minimal impact on its value (it only shifts if the total number of data points changes drastically, not due to outlier magnitude). The correct option reflects this key property of the median.

Answer:

The median is more appropriate, because it usually changes less than the mean when comparing data with and without outliers.