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If 25 children are sorted by haemoglobin levels with counts (2, 3, 5, 6, 4, 3, 2) at the levels (12.0, 12.4, 12.7, 13.1, 13.3, 13.6, 14.0) g/dl, the median haemoglobin (the 13th child's level) is:
A12.4 g/dl
B12.7 g/dl
C13.1 g/dl
D13.3 g/dl
Answer & Solution
Correct answer: C. 13.1 g/dl
1. Cumulative counts: 2 (level 12.0), 5 (12.4), 10 (12.7), 16 (13.1), 20 (13.3), 23 (13.6), 25 (14.0).
2. The 13th child falls in the level whose cumulative count first reaches or exceeds 13.
3. After level 12.7 the cumulative count is 10 (below 13); after level 13.1 it is 16 (≥ 13).
4. So the 13th child's haemoglobin reading is 13.1 g/dl.
5. Hence the median haemoglobin level is 13.1 g/dl.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 9-11 (pp 227-246, 2019 ed.)._
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