Quantitative Methods Q129
- Option : B
- Explanation : According to Chebyshev‟s inequality, the proportion of the observations within k standard deviations of the arithmetic mean is at least 1– 1/k2 for all k > 1. For k = 2, that proportion is 1– 1/22, which is 75%. The lower endpoint is, therefore the mean (144) minus 2 times 12 (the standard deviation) and the upper endpoint is 144 plus 2 times 12. 144– (2 × 12) = 120; 144 + 2(12) = 168
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