JEE Main 2014 · 9 Apr · Shift 1 · Mathematics Q86

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MathematicsSingle correct+4 / -1Question 86 of 90

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 :

increases by 1.

decreases by 1.

decreases by 2.

increases by 2.

Answer and worked solution

Official answer: A

$n$ observations rise by 5 and $n$ fall by 3. The total changes by $5n-3n=2n$ , so the mean of the $2n$ values rises by 1.

Topics:Measures of central tendency

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JEE Main 2014 · 9 Apr · Shift 1, Mathematics question 86