Question $2$: $(30$ pts$)$

Problem: Age groups

Write a java program that analyzes a sequence of ages and categorizes them into different age groups. The program should classify each age into one of the following groups:

Child: Age $0$ to $12$

Teenager: Age $13$ to $19$

Adult: Age $20$ to $59$

Senior: Age $60$ and above

Additionally, the program should display the number of people in each group, calulate the average age of all people in the list and identify the youngest and oldest person in the list.

The user will first enter the number of people $($let$\text{'}$s call it $n)n1,$ followed by $n$ ages that must be valid positive integers.