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

To create a data set with a balance point of 12, you want the average of the numbers to equal 12. This means that the sum of the numbers should be 60 (since 60 divided by 5 gives you 12). An example data set could be: 10, 12, 14, 18, and 6. Adding these together (10 + 12 + 14 + 18 + 6) gives you 60, and dividing by 5 yields the balance point of 12!

Now, if you’re curious, there’s a neat little fact about balance points in data sets: they help determine the central tendency of a group of numbers, which is a powerful concept in statistics. Understanding this can allow you to grasp how data distributes and where it tends to “rest,” leading to insights across various fields from economics to psychology!

Also, a common mistake when calculating the balance point is to forget to average correctly or miscount the total numbers. Be sure to double-check your sums and remember that even one little error can shift your balance point significantly. It’s like being off-balance; just one misplaced number can tip the scale!