Open Ended Make a data set that has 5 numbers and a balance poin
of 12 .

To create a dataset with five numbers where the balance point (mean) is 12, we can start by constructing the equation for the mean:

( x₁ + x₂ + x₃ + x₄ + x₅ ) / 5 = 12.

Multiplying through by 5 gives us: x₁ + x₂ + x₃ + x₄ + x₅ = 60.

One possible dataset could be: 8, 12, 15, 10, and 15. Adding these numbers together results in 60, which means their mean is indeed 12.

Now, let’s have some fun with experimentation! You could swap some numbers out—like replacing 8 with 7 and adjusting another number slightly to keep the balance point at 12. For example, switch 15 to 16 to maintain the sum of 60: 7, 12, 16, 10, and 15. See how many combinations you can come up with that still balance out to that perfectly average number!