Question

Jenna realizes she made a mistake in her list if she replaces the number 52 with 38 how will the mean change

Answer 1

Answer:

The mean value will increase

Step-by-step explanation:

The list of numbers is not given. However, the given piece of information can still be used to solve the question.

Required

How will the mean change?

52 is greater than 38. So, it is expected that the mean value will increase.

As an illustration:

Let the initial list of numbers be: 25,30,33,38 and 40.

The mean is:

$Mean = \frac{1}{5}(25 + 30 + 33 + 38 + 40)$

$Mean = \frac{1}{5}(166)$

$Mean = 33.2$

Now, replace 38 with 52 and calculate the mean.

$Mean = \frac{1}{5}(25 + 30 + 33 + 52 + 40)$

$Mean = \frac{1}{5}(180)$

$Mean = 36$

Notice that the mean increased.