Correct Answer: Correct answer is: (B) Median.
Exam Relevance: AP Statistics, GRE, GMAT
Difficulty: Moderate
Concept notes: In a strongly skewed distribution, the median is a better indicator of central tendency than the mean or mode because it is less affected by extreme values.
Common Mistakes: Students often mistakenly believe that the mean is the best measure of central tendency in all distributions.
Explanations: In a strongly skewed distribution, the mean can be heavily influenced by extreme values, leading to a misleading representation of the central tendency. The median, being the middle value when data is ordered, is not affected by these extreme values and thus provides a more accurate measure of central tendency.
Option Analysis: - Option A: The mean is not the best indicator in a strongly skewed distribution because it can be heavily influenced by extreme values.
- Option B: The median is the best indicator in a strongly skewed distribution because it is not affected by extreme values.
- Option C: The mode may not be a reliable indicator of central tendency in a strongly skewed distribution, especially if the distribution is multimodal or has a low frequency peak.
- Option D: The standard deviation is a measure of dispersion, not central tendency, and is not relevant to this question.
Mnemonic: Median is Middle, Mean is Misled.
Ques 51 explanation is not related to the question…
Very useful question but plz give explanation with correct answer