What are 12 numbers with these landmarks maximum 8 range 6 mode 6 median 5

To find a set of 12 numbers that meet the given landmarks, we can follow these steps:

1. Start by determining the mode: The mode is the number that appears most frequently in the set. In this case, the mode is given as 6.

2. Next, find the median: The median is the middle value when the numbers are arranged in ascending order. Since we need the median to be 5, we can add 5 to the set of numbers.

3. Now, consider the range: The range is the difference between the maximum and minimum values. The maximum value is given as 8, so we need to choose other numbers in the set within this range.

Let's calculate:
Maximum value = 8
Minimum value = 8 - (range - 1) = 8 - (6 - 1) = 8 - 5 = 3.

4. With the mode, median, maximum value, and minimum value determined, we need to choose 8 additional numbers within this range. To ensure that the mode is 6, we need to select numbers that include 6 multiple times.

One possible set of 12 numbers that meets these criteria could be:
3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6.

In this set, the mode is 6 (appearing four times), the median is 5, the maximum value is 8, and the range is 6.