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CDA认证小程序

A dataset has a skewness coefficient of -4.23. Which statement about this dataset is correct?
A. It has extreme left skew
B. Since the coefficient is near 0, it has slight left skew
C. Since the coefficient is near 0, it has slight right skew
D. It has extreme right skew
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Positive skewness indicates right skew; negative indicates left skew. The closer to 0, the less skewed. Coefficient greater than 1 or less than -1 means highly skewed; between 0.5-1 or -1--0.5 means moderately skewed. Beyond +/-3 means extremely skewed.

正确答案是A: It has extreme left skew。

专业分析:偏度(skewness)是衡量数据分布不对称程度的一个统计量。偏度系数为负值表示数据分布左偏(左尾较长),偏度系数为正值表示数据分布右偏(右尾较长)。一般来说,偏度系数绝对值较大(通常认为绝对值大于1)表示数据分布具有极端偏斜性。题目中给出的偏度系数为-4.23,远小于0,表明数据分布具有极端左偏(左尾较长)的特性。因此,正确答案是A: It has extreme left skew。