Final answer:
To find a combination of 5 positive numbers that have an average of 1.9 but are all different, start with the highest number and work your way down. Add 0.9 to each number to achieve an average of 1.9.
Step-by-step explanation:
To find a combination of 5 positive numbers that have an average of 1.9 but are all different, we can start with the highest number and work our way down. Let's use the numbers 3, 2, 1, 0, and -1. The sum of these numbers is 5, and when we divide by 5 (the number of numbers), we get an average of 1. So 3 + 2 + 1 + 0 + (-1) equals 5, and 5 divided by 5 equals 1. Therefore, the average of these numbers is 1. However, the question asks for an average of 1.9. To achieve this, we can add 0.9 to each number. So the new combination of numbers is 3.9, 2.9, 1.9, 0.9, and -0.1. When we add these numbers and divide by 5, we get an average of 1.9.