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JEE Main 2014 Mathematics question

MathematicsStatisticsJEE Main 2014

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 :

Answer: (2)

Solution

With 2n distinct observations, exactly n lie below the median and n above. The total increases by and decreases by

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Question ID VK-104420