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?

查看解析

登录即可查看完整答案

类似问题

Consider the heights of a group of students: 165, 171, 173, 180, 180, 181 Suppose that one of the "180"s was accidentally recorded as "18". Would the mean or median be more affected by the change?

From the shape of the distribution we would expect:

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单