Final answer:
The range of the given ages is 7 years, the median age is 10 years, and the mode age is 11 years.
Step-by-step explanation:
The question asks for the range, median, and mode of the given set of ages.
To find the range, subtract the smallest age from the largest age. The given ages are 7, 11, 14, 10, 8, 11, 9. After arranging them in ascending order, the smallest age is 7 and the largest is 14, so the range is 14 - 7 = 7 years.
To find the median, which is the middle value in the ordered list, we arrange the ages in ascending order: 7, 8, 9, 10, 11, 11, 14. Since there are 7 ages, the middle one is the fourth number, which is 10 years.
To find the mode, which is the most frequently occurring age, we look at the list and see that the age 11 appears twice, more frequently than the others, which makes 11 the mode.