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？

Question

BlackTom AI · Accepted Answer

题干重述与选项信息：题目在描述偏度衡量数值分布对称性，指出“不对称的分布称为偏斜分布”，并给出变量直方图。问题要求下列哪种偏度类型最能描述该分布。已知的答案是：正偏态。

由于题目给出的选项列表为空（没有显示具体的选项 A、B、C…），无法逐一对照并评估每一个备选项的正确性与错误原因。因此只能基于题干提供的信息以及直方图的常见解读来分析“正偏态”这一选项为何合适。

对“正偏态”的解释与直方图对应关系：正偏态（右偏或正偏分布）指分布的尾部向右侧延伸，右侧尾巴较长，数据多集中在左侧，均值通常位于中位数和众数右侧，或至少高于中位数。这与图中模态点（Mode）位于中间偏左、中位数（Median）位于右侧、均值（Mean）在更右侧的情形一致；换言之，分布尾巴向右拖长，属于正偏态。

若考虑其他常见偏斜类型的对比：
- 若分布是负偏态（左偏），则尾巴向左，均值通常小于中位数，模态点也会不同于正偏态的典型顺序；此时直方图的形状与给定图示不符，因此不能描述为负偏态。
- 若分布接近对称，则偏度接近零，三者（Mode、Median、Mean）在大致同一位置，直方图近似钟形，但题干图示强调明显的尾部拖长在右侧，因此对称性不足以描述。

由于缺失选项清单，无法逐条否定其他具体选项的错误之处。但就给定答案“正偏态”而言，结合直方图的右尾拖长与均值/中位数相对位置关系，这一选项是与图示匹配、对该分布最符合的偏度类型。

总结性说明（便于答题时记忆要点）：当直方图显示右尾更长、数据集中在左侧、均值高于中位数时，正确描述应为正偏态；若直方图呈左尾更长、数据集中在右侧，则为负偏态；若三者相近且对称，则为近似对称分布。

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？单项选择题

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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？单项选择题

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In a right-skewed distribution

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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:

更多留学生实用工具

希望你的学习变得更简单

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?