Question

4
Write a set of four positive integers with a mean of 6 and a mode of 8

Answer 1

2, 6, 8, 8

Explanation:

a mean of 6 with 4 positive integers means the total of the numbers needs to be 24.

Two of those numbers need to be 8 so it's the mode. 8+8 is 16.

24-16 =8.

So then we can pick any two numbers that add to eight.

I'll use 2 and 6.

so my final answer is:

2, 6, 8, 8

Answer 2

Explanation:

One set of four positive integers with a mean of 6 and a mode of 8 could be:

{4, 8, 8, 8}

To calculate the mean of this set, we can add up all the numbers and divide by the total count:

(4 + 8 + 8 + 8) / 4 = 6

The mean is indeed 6.

To find the mode, we look for the number that appears most frequently in the set. In this case, the number 8 appears three times, which is more than any other number. Therefore, the mode is 8.

So, this set of {4, 8, 8, 8} has a mean of 6 and a mode of 8. Note that there may be other sets of four positive integers with the same mean and mode (for example, {2, 8, 8, 10}), but this is one possible solution.