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.