Correct Answer: Correct answer is: (C) Mean is less than the median.
Exam Relevance: AP Statistics, IB Mathematics, SAT Math
Difficulty: Moderate
Concept notes: In a negatively skewed distribution, the tail of the distribution is on the left side, indicating that the majority of the data points are concentrated on the right side. This results in the mean being pulled towards the left, making it less than the median.
Common Mistakes: Students often confuse the direction of skewness and incorrectly assume that the mean is greater than the median in a negatively skewed distribution.
Explanations: In a negatively skewed distribution, the tail is on the left side, indicating that there are a few low values that pull the mean to the left. The median, which is the middle value, is less affected by these low values. Therefore, the mean is less than the median.
Option Analysis: - Option A: This is incorrect because in a negatively skewed distribution, the mean and median do not coincide.
- Option B: This is incorrect because in a negatively skewed distribution, the mean is not more than the median.
- Option C: This is correct because in a negatively skewed distribution, the mean is less than the median.
- Option D: This is incorrect because a relationship does exist between the mean and median in a negatively skewed distribution.
Mnemonic: Left tail, mean retreats.
Ques 51 explanation is not related to the question…
Very useful question but plz give explanation with correct answer