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?Identify the circumstances in which the median may be better than the mean as a measure
Chapter 3, Problem 32(choose chapter or problem)
Identify the circumstances in which the median may be better than the mean as a measure of central tendency and explain why.
Questions & Answers
QUESTION:
Identify the circumstances in which the median may be better than the mean as a measure of central tendency and explain why.
ANSWER:Step 1 of 3
The median is sometimes a better choice than the mean for showing the typical value in a group of numbers, especially when there are special situations:
1. Outliers: If there are very high or low numbers in the data, they can make the mean (average) misleading. The median, which is the middle number, isn't affected by these extreme numbers, so it gives a more accurate picture of what's typical.
2. Skewed Data: When the data isn't evenly spread out and leans more one way, the mean can be pulled toward the more crowded side. The median doesn't get affected by this and stays a better reflection of what's typical.