How to make up a data set of at least 12 numbers that have that have the following landmarks maximum.:18 mode:7 range:13 median:12

To create a data set with the given landmarks, maximum = 18, mode = 7, range = 13, and median = 12, we can follow these steps:

1. Start by determining the required number of data points, which is at least 12. Let's begin with 12 numbers.

2. To ensure that the maximum value is 18, we need to include it in our data set. So, add 18 to the collection.

3. To determine the mode, which is the most frequently occurring number, we need to include 7 in the data set.

4. To find the range, which is the difference between the maximum and minimum values, we subtract the minimum from the maximum. Given that the range is 13, we need to choose a minimum value that will result in a range of 13 when subtracted from 18. Thus, the minimum value is 5.

5. Now, we have the maximum (18), mode (7), and minimum (5) values in our data set. To calculate the remaining 12 - 3 = 9 numbers, we can follow different strategies.

6. One approach is to fill the remaining values with different numbers between the minimum and maximum values. We need to ensure that the median becomes 12. To do this, we can arrange the numbers in ascending order.

7. For example, we can add the numbers: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16. This sequence includes all the provided landmarks and has a maximum of 18, a mode of 7, a range of 13, and a median of 12.

Remember, there can be multiple valid data sets that meet these criteria. This is just one example.