MAKE A SET OF 12 NUMBERS WITH THE FOLLOWING LANDMARKS MAX: 8 RANGE: 6 MODE: 6 MEDIAN: 5

2 2 3 4 4 5 5 6 6 6 7 8

First fill in the max. You know it has to be 8. The range of 6 tells you the min has to be 2 (8-6=2). You can then fill that in. The median has to be 5 so 2 5's in the middle spot will ensure that it's 5. The mode has to be 6, so we need at least 6 6's. You can then fill the rest of the numbers in, making sure they're in order and that you don't have 3 or more of any other number (because then the mode would change).

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To create a set of 12 numbers with the given landmarks, we need to consider the maximum, range, mode, and median.

1. Maximum: The maximum value is 8, which means that at least one number in the set should be 8.
2. Range: The range is 6, which is the difference between the maximum and minimum values. To achieve a range of 6, we need the minimum value to be 8 - 6 = 2.
3. Mode: The mode is 6, which means that one number in the set should appear more frequently than any other. To achieve a mode of 6, we need at least two 6's in the set.
4. Median: The median is 5, which is the middle value when the numbers are arranged in ascending order. To achieve a median of 5, we need to distribute the remaining numbers around it.

Based on these requirements, here's a set of 12 numbers that satisfies the given landmarks:
2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8

In this set, the maximum is 8, the range is 8 - 2 = 6, the mode is 6, and the median is 5.