Q76.In a set of 2n distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations : (1) Increases by 2 . (2) Increases by 1 . (3) Decreases by 2 . (4) Decreases by 1 .
What This Question Tests
This question tests the understanding of how changes applied to subsets of observations, specifically those below and above the median, impact the overall mean of a dataset. For 2n distinct observations, there are n observations below the median and n observations above the median, leading to a net increase in the sum of observations.
Concepts Tested
Formulas Used
Mean = (Sum of observations) / (Number of observations)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Statistics
- Topic
- Mean
- Year
- 2014
- Shift
- 09 Apr Online
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 15: Statistics
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