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In the rainfall data for 14 Kerala districts during a week of September 2015, the value 89.0 mm (Thiruvananthapuram) is much larger than other entries. The unit notes that this kind of single large value:
APulls the mean upward, making it larger than the median
BMakes the mean smaller than the median
CHas no effect on either mean or median
DPulls the median upward, making it larger than the mean
Answer & Solution
Correct answer: A. Pulls the mean upward, making it larger than the median
1. The mean adds all values and divides by the count; an unusually large value adds disproportionately.
2. The median depends only on rank, not magnitude, of the values.
3. So a single large outlier raises the mean noticeably but leaves the median almost unchanged.
4. As a result the mean ends up larger than the median in such distributions.
5. So one large value pulls the mean upward, above the median.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 9-11 (pp 227-246, 2019 ed.)._
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