Solution:
we have been asked to find that whether the given statement is True or False.
Replacing only the minimum value in a data to a smaller number will change the median....FALSE
As we know the median is caluclated by arranging the given numbers in ascending/descending order. The we choose the middle one as a median if total number of numbers are odd. But if toal numbers of numbers are even then we take the average of the middle two and that average is the median.
So if we you are going add a number in the given set of numbers then surely the median is going to change, irrespective of the vaue of the number.
Hence the given statement is False.