Question

Replacing the maximum value of the data set with a smaller number will also affect the mean. A:always B:sometimes C:never

Answer 1

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