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When a distribution is positively skewed, what can be said about it?

1) The mean is greater than the median
2) The median is greater than the mean
3) The mode is greater than the median
4) The median is greater than the mode

User Stono
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1 Answer

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Final answer:

In a positively skewed distribution, the mean is greater than the median, as the mean is pulled to the right by the longer tail of high values.

Step-by-step explanation:

When a distribution is positively skewed, it means that the distribution tail is longer on the right side. In a positively skewed distribution, the mean is greater than the median, which is typically greater than the mode. This is because the mean is affected by the high values in the tail, which pulls it to the right, making it larger compared to the median. The median, being the middle value, is less affected by extreme values, and generally remains centered compared to the mean in skewed distributions. Hence, in the context of your question, the correct statement about a positively skewed distribution is that the mean is greater than the median.

User Bbrodriges
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