Answer:
4, 14, 14, 16
Explanation:
Key skills needed: Casework, Mean, Median, and Mode
1) We start with 4 numbers _ _ _ _
2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.
3) The numbers would have to be:
The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.
4) So, our numbers are _ 14 14 _
5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.
6) We can make a system: saying x is the bigger number and y is the smaller number.
x + y = 20
x - y = 12
Add both and you will get 2x = 32 (since the y values cancel out).
7) divide by on both sides, and x = 16.
8) To find y, we can plug x back in to one equation:
16 + y = 20
y = 4
Our smaller number is 4 and our bigger number is 16.
9) Therefore the numbers are: 4, 14, 14, 16
Hope you understood and have a nice day!! :D