To come up with a set of numbers that meet the given landmarks, you need to consider the definitions of each landmark and work backwards to find numbers that fit the criteria.
1. Mode: The mode is the number that appears most frequently. In this case, the mode is given as 21. So, you need at least one occurrence of 21 in the set.
2. Median: The median is the middle number when the set is arranged in ascending order. In this case, the median is given as 24. So, you should include 24 as one of the numbers.
3. Maximum: The maximum is the highest number in the set. In this case, the maximum is given as 35. So, you need to include 35 as one of the numbers in the set.
4. Range: The range is the difference between the maximum and minimum values in the set. In this case, the range is given as 20. To maximize the range, you should include both the maximum (35) and minimum values. Therefore, the minimum value can be found by subtracting the range from the maximum: 35 - 20 = 15.
Now, you have the mode (21), median (24), maximum (35), and minimum (15) values identified.
To complete the set, you can select other numbers that fit within this range, making sure you have enough numbers to reach a total of 7. In this case, you can include 27 and 29 to get the following set: 15, 21, 21, 24, 27, 29, 35.
Please note that this is just one possible answer, and there could be other valid sets of numbers that meet the given landmarks.