Final answer:
The six single-digit numbers that have a mean of 6, a mode of 6, and a median of 6 are B)5, 5, 6, 6, 6, 7.
Step-by-step explanation:
The six single-digit numbers that have a mean of 6, a mode of 6, and a median of 6 are option B. 5, 5, 6, 6, 6, 7. In order to determine the numbers, we need to arrange the numbers in ascending order. The mode is the number that appears most frequently, which in this case is 6. The median is the middle number, which is also 6. And the mean is the sum of all the numbers divided by the total count, which is also 6. Therefore, option B satisfies all the given conditions.