Statistics And Probability Question 538

Question: The median of a set of nine distinct observations is 20.5 if each of the largest four observations of the set is increased by 2, then the median of the new set

Options:

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.

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Since n=9, the median term is the $ {{( \frac{9+1}{2} )}^{th}}=5^{th} $ term. Last four observations are increased by 2. Since the median in the 5th observation, which remains unchanged, there will be no change in the median.