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If the mean of the observations k, (k + 8), (2k − 1), (k + 12), 12 and 17 is 13, then find the median…

The correct choice is: 13 Sum \(=5k+48=6\times13=78\Rightarrow k=6\). Observations: 6, 14, 11, 18, 12, 17 → in order 6, 11, 12, 14, 17, 18. Median \(=\frac{12+14}{2}=13\).…

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If the mean of the observations k, (k + 8), (2k − 1), (k + 12), 12 and 17 is 13, then find the median of these observations.

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Correct answer D

The correct choice is: 13

Sum =5k+48=6×13=78⇒k=6=5k+48=6\times13=78\Rightarrow k=6.

Observations: 6, 14, 11, 18, 12, 17 → in order 6, 11, 12, 14, 17, 18.

Median =12+142=13=\frac{12+14}{2}=13. Hence the answer is 13.

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  • NCHM Joint Entrance Examination (NCHM JEE)

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