Ms. Hernandez began her math class by saying: I’m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number? What is the 5th number Ms. Hernandez is thinking of?

18

Step-by-step explanation:

Given:

Ms. Hernandez began her math class by saying: I’m thinking of 5 numbers such that their mean is equal to their median.

If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?

What is the 5th number Ms. Hernandez is thinking of?

Solution:

Let 5th number is

First of all we will calculate median for the following data:

14, 8, 16, and 14

Arrange it into ascending order:-

8, 14, 14, 16,

For odd number of observation:

That means 3rd term is the median:-

Median = 14

Mean = Median = 14 ( given )

As we know:

Thus, the 5th number is 18 that Ms. Hernandez was thinking of.