Correct option is D
Given:
Original observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33
Modifications: 92 is replaced by 99, and 41 is replaced by 43.
Formula Used:
For an odd number of observations 'n', Median = Value of the th observation in sorted order.
Solution:
First, let's arrange the modified data in ascending order.
The new set of numbers is: 46, 64, 87, 43, 58, 77, 35, 90, 55, 99, 33
Sorting the new data:
33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99
The total number of observations is 11, which is odd.
Median position = = 6th observation.
The 6th observation in the sorted list is 58.
Thus, the new median remains 58.
Final Answer
So the correct answer is (d)

