To create a set of 15 numbers with the given landmarks, we need to ensure that the maximum value is 152, the range is 25, the mode is 139, and the median is 142.
1) Maximum: The maximum value is given as 152. To accommodate this value, we can include it in our set.
2) Range: The range is defined as the difference between the maximum and minimum values. The given range is 25. To achieve this, we can set the minimum value as (maximum - range = 152 - 25 = 127). So, we need to ensure that the minimum value is 127.
3) Mode: The mode is the value that appears most frequently in the set. The given mode is 139. To include this in the set, we can have multiple occurrences of 139.
4) Median: The median is the middle value in a set when it is arranged in ascending order. The given median is 142. To arrange the set in ascending order, we can place the mode value (139) in the middle as the median. Before and after the median, we can distribute the remaining numbers to maintain the given maximum, minimum, and range.
Here is one possible set of 15 numbers that satisfies the given landmarks:
127, 129, 132, 134, 136, 138, 139, 139, 140, 141, 142, 142, 143, 146, 152
This set has a maximum of 152, a range of 25, a mode of 139, and a median of 142.