Correct option is D
Given:
Original observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33
Original median = 58
92 is replaced by 99
41 is replaced by 43
Formula Used:
Median of an odd number of observations is the middle value when arranged in ascending order.
Solution:
Arranging the original data in ascending order:
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92
There are 11 terms, so the median is the 6th term, which is 58.
When 92 is replaced by 99, the new value remains greater than the median.
When 41 is replaced by 43, the new value remains less than the median.
The new ordered set is:
33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99
The 6th term remains 58.
Final Answer
So the correct answer is (d)
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