Which of the following measure of central tendency will be unaffected if the lowest and highest observation are removed?
Options
AMean
BMode
CMedian
DRange
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Central Tendency & DispersionPYQ June 24Question 2964 of 473
All Questions Correct Answer
✅ Option c — Median
All Options:
- AMean
- BMode
- CMedian
- DRange
Detailed Solution & Explanation
The median of a dataset is the middle-most value when the data is arranged in order. It depends solely on the positions of the observations and is completely independent of the actual numerical values of the extreme observations (the lowest and highest values). Therefore, if the lowest and highest observations are removed or changed, the median remains completely unaffected. In contrast, the Mean depends on the values of all observations, and the Range depends directly on the extreme values.
Hence, **Option C** is the correct answer.
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