In a right-skewed distribution

Question

BlackTom AI · Accepted Answer

Consider the prompt: 'In a right-skewed distribution' with options provided.
Option 1: 'the median equals the arithmetic mean.' In a right-skewed distribution, the tail to the right drags the mean upward relative to the median, so this equality generally does not hold. This statement is false.
Option 2: 'the median is less than the arithmetic mean.' This aligns with the typical property of right-skewed (positively skewed) distributions, where extreme high values pull the mean above the median. This statement is true.
Option 3: 'none of the options are true.' Since there is at least one correct statement (Option 2), this option is false.
Option 4: 'the median is greater than the arithmetic mean.' This would be characteristic of a left-skewed distribution, not a right-skewed one, so this is incorrect.
Summarizing the reasoning: in a right-skewed distribution, the mean is influenced by high outliers and tends to be larger than the median, making the statement that the median is less than the mean correct, while the other statements misstate the standard relationship between mean and median in this skewed context.

COMM 291 Practice Quiz- Module 3

In a right-skewed distribution

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COMM 291 Practice Quiz- Module 3

In a right-skewed distribution

查看解析

登录即可查看完整答案

类似问题

偏度衡量数值分布的对称性，不对称的分布称为偏斜分布。给定一个变量的直方图，下列哪种偏度类型最能描述该分布？

Histograms (1 mark)Which of the following statements about the following histogram of data points in 'y' is true:[Fill in the blank]

If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?​

What is population skew?

A sample of people who have attended a football game at the U has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:

The shape of the data distribution displayed by this dot plot is best described as:

What is considered severe skew in a data distribution?

The shape of the data distribution displayed by this dot plot is best described as:

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If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?