The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

Question

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set (A) remains the same as that of the original set (B) is increased by 2 (C) is decreased by 2 (D) is two times the original median.

Tardigrade Admin · Accepted Answer

n = 9 then median term = ( (9 + 1/2) )th = 5th term. Last four observations are increased by 2. The median is 5th observation which is remaining unchanged. ∴ there will be no change in median

Q. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

remains the same as that of the original set

is increased by 2

is decreased by 2

is two times the original median.

$n = 9$ then median term = $(\frac{9 + 1}{2})^{t h} = 5^{t h}$
term. Last four observations are increased by 2. The median is 5th observation which is remaining unchanged.
$∴$ there will be no change in median

Q. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

remains the same as that of the original set

is increased by 2

is decreased by 2

is two times the original median.

n=9 then median term = (29+1​)th=5th term. Last four observations are increased by 2. The median is 5th observation which is remaining unchanged. ∴ there will be no change in median

$n = 9$ then median term = $(\frac{9 + 1}{2})^{t h} = 5^{t h}$
term. Last four observations are increased by 2. The median is 5th observation which is remaining unchanged.
$∴$ there will be no change in median