Statistics And Probability Question 450
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
[AIEEE 2003]
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:
Since n = 9, then median term $ ={{( \frac{9+1}{2} )}^{th}} $ $ =5^{th}\text{ term} $ . Now, last four observations are increased by 2. ∵ The median is 5th observation, which is remaining unchanged. \ There will be no change in median.
BETA
