Final answer:
The range of the children's ages is 7 years, the median age is 10 years, and the mode is 11 years.
Step-by-step explanation:
To find the range, median, and mode of the given ages of children, we proceed as follows:
- First, we order the data: 7, 8, 9, 10, 11, 11, 14. This step makes it easier to find the median and the mode.
- The range is the difference between the highest and lowest values. In this case, range = 14 - 7 = 7 years.
- The median is the middle number in an ordered data set. Since there are 7 numbers, the median is the 4th number: 10 years.
- To find the mode, we look for the number that appears most often. Here, the number 11 appears twice, more than any other number, so the mode is 11 years.