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 two times the original median.
• D. Is two times the original median.

Answer 1

The correct option is A

Remains the same as that of the original set

$n=9$ then,
median term $={\left(\frac{9+1}{2}\right)}^{th}=5^{th}$ term.
Last four observations are increased by 2. The median is 5th observation which is remaining unchanged.

$\therefore$ There will be no change in median.