What is considered severe skew in a data distribution?

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BlackTom AI · Accepted Answer

First, let’s restate the question and options to ensure clarity: What is considered severe skew in a data distribution? Option 1: 'Skew < -1 or > 1' This matches common guidelines that a distribution is considered severely skewed when the absolute value of skewness exceeds 1, indicating a strong departure from symmetry. Option 2: 'Skew < -2 or > 2' While skewness beyond 2 or -2 would indicate extremely pronounced asymmetry, this threshold is typically considered very severe and less commonly used as the standard definition of severe skew in many introductory guidelines; it may be seen as indicating an extreme case rather than the conventional 'severe' cutoff. Option 3: 'Skew < -0.5 or > 0.5' An absolute value above 0.5 is often described as moderate skew, not severe; this would correspond to a milder departure from symmetry. Option 4: 'Skew < -0.8 or > 0.8' This represents a stricter threshold than 1 for defining skewedness but is still not the standard commonly cited level for severe skew; it sits between moderate and severe by some interpretations, yet many sources would still categorize skewness beyond 1 as severe. Now, evaluating the intent of the question: it asks for what is considered severe skew in a data distribution. Among the options, the most widely accepted threshold for severe skew is an absolute skewness greater than 1 in either direction, which aligns with Option 1. Putting it together, Option 1 correctly identifies the conventional marker for severe skew, while Options 2, 3, and 4 describe thresholds that correspond to more extreme, moderate-to-severe, or ambiguous classifications, depending on the framing, but do not match the standard 'severe' cutoff.

ANSC20003_2025_SM2 ANSC20003 - Topics in Animal Health (ANSC20003) - Mid-semester Exam

What is considered severe skew in a data distribution?

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ANSC20003_2025_SM2 ANSC20003 - Topics in Animal Health (ANSC20003) - Mid-semester Exam

What is considered severe skew in a data 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？

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]

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:

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?