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If one new household with a monthly income of 175 000 rupees joins the same neighbourhood, the new mean monthly income (eleven households) is approximately:
Answer & Solution
Correct answer: D.
1. New sum = old sum + 175 000 = 19 285 × 10 + 175 000 = 192 850 + 175 000 = 367 850.
2. New count = 11.
3. New mean = 367 850 / 11 ≈ 33 441 rupees.
4. The mean is heavily pulled upward by the single outlier of 175 000.
5. The unit uses this example to argue that the mean is not always the best summary.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 9-11 (pp 227-246, 2019 ed.)._
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