Correct Answer: Correct answer is: (C) Can be both positive and negative.
Exam Relevance: AP Statistics, GRE, GMAT, MBA Entrance Exams
Difficulty: Moderate
Concept notes: Karl Pearson's coefficient of skewness measures the asymmetry of a distribution. It can be positive, negative, or zero, depending on the shape of the distribution.
Common Mistakes: Students often mistakenly believe that skewness is always positive or negative, not considering the possibility of a symmetrical distribution where skewness is zero.
Explanations: Karl Pearson's coefficient of skewness is calculated as the difference between the mean and the mode, divided by the standard deviation. This formula allows for the skewness to be positive if the mean is greater than the mode, negative if the mean is less than the mode, and zero if the mean equals the mode. Therefore, the skewness can be both positive and negative, depending on the distribution's shape.
Option Analysis: - Option A: Incorrect because skewness can be negative or zero.
- Option B: Incorrect because skewness can be positive or zero.
- Option C: Correct because skewness can be both positive and negative.
- Option D: Incorrect because skewness can be zero.
Ques 51 explanation is not related to the question…
Very useful question but plz give explanation with correct answer