Answer:
B: sometimes
Step-by-step explanation:
Let's look at two examples.
Example A.
2, 3, 5: mean is 3
Replace 5 with 1. Now you have 1, 2, 3: mean is 2.
In this case, it affected the mean.
Example B.
2, 3, 5: mean is 3
Replace 5 with 4. Now you have 2, 3, 4: mean is 3.
In this case, it did not affect the mean.
As you can see, replacing the maximum value of the data set with a smaller number may or may not change the mean.
Answer: B: sometimes
