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?

Question

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?​

BlackTom AI · Accepted Answer

When describing skewness, the direction of the long tail indicates the side toward which the tail extends.
Option a: negatively. A long tail projecting to the left means the tail is on the negative side of the distribution, which is the classic definition of negative skew.
Option b: positively. A tail to the right would indicate positive skew, not leftward tail, so this is incorrect here.
Option c: normally. A normal distribution is symmetric and bell-shaped with no extended tail to either side, so this does not describe the given skew.
Option d: symmetrically. Symmetry implies equal tails on both sides; since there is an elongated left tail, symmetry does not apply.
In summary, the left-extended tail directly corresponds to negative skew, making option a the correct choice in this scenario.

Dashboard Week 7 Quiz

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?

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Dashboard Week 7 Quiz

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?​

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？

In a right-skewed distribution

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

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?