If a distribution is extremely skewed to the right,

where will the mean appears in relation to the median?

Question

If a distribution is extremely skewed to the right,

where will the mean appears in relation to the median?

BlackTom AI · Accepted Answer

The question asks about the relationship between the mean and the median in a distribution that is extremely skewed to the right.
First, recall that in a right-skewed (positively skewed) distribution, the right tail is longer and contains a few unusually large values that pull the mean upward more than the median.
Because the mean is sensitive to extreme values, those high observations lift the mean above the central tendency measured by the median.
In contrast, the median is the middle value and is less affected by extreme outliers on the high end, so it sits closer to the center of the bulk of the data.
Therefore, in a distribution skewed to the right, the mean tends to be greater than the median, placing the mean to the right of the median.
Some common misinterpretations to avoid: stating that the mean is always to the right for any skew, or that skewness only affects the mean. While skewness influences their relationship, the key takeaway here is that right skew pulls the mean above the median due to extreme high values.

ERMCPS5350_003_2025_3 - INTRO TO QUANTITATIVE RISK MANAGEMENT 6. Quiz for Class 6

If a distribution is extremely skewed to the right, where will the mean appears in relation to the median?

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