Question

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

• A. Is increased by 2
• B. Is decreased by 2
• C. Is two times the original median
• D. Remains the same as that of the original set

Answer 1

Answer: (D)

Remains the same as that of the original set

Answer 2

Since n = 9, then median term $= \left( \frac{9 + 1}{2} \right)^{th}$ $= 5^{th}\text{ term}$.

Now, last four observations are increased by 2.

∵ The median is 5^th observation, which is remaining unchanged.

∴ There will be no change in median.