Question

Create a data set with 6 different values whose mean is 100

Answer 1

70, 85, 93, 100, 125, and 127

Explanation:

We want to create a data set with 6 different values whose mean is 100.

Let the sum of the 6 numbers = x

`\begin{gathered} (x)/(6)=100 \\ \implies x=6*100 \\ x=600 \end{gathered}`

What this means is that the 6 numbers must add up to 600.

Let 5 numbers in the data set be:

• 70, 93, 100, 125, and 127

Add the 5 numbers up:

`70+93+100+125+127=515`

Subtract the sum from 600 to get the 6th number.

`600-515=85`

Thus, the 6 diffrent values are:

`70,85,93,100,125,\text{ and }127`