Question
- Open Ended Make a data set that has 5 numbers and a balance point
of 12 .
of 12 .
Ask by Potter Pearson. in the United States
Mar 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
One example of a data set with 5 numbers and a balance point of 12 is
Solution
- The term “balance point” is equivalent to the average (mean) of the data set.
- For a set of 5 numbers with a balance point of 12, the sum of the numbers must be
- One example of such a data set is:
. - We can verify this by calculating the mean:
- Thus, the data set
has a balance point of 12.
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Simplify this solution Beyond the Answer
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!
