The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. remains the same as that of the original set
Given that
The median of a set of 11 distinct observations is 73.2
The observation is 11 (odd number)
it means that the median in the 6th observation is 73.2
Now,
If each of the largest five observations of the set is increased by 3.
Then, the median will not change because the obervation is still 11 then the median is still the 6th observation i.e. 73.2
Thus, the median remains the same as that of the original set.