Is it wrong to use the exception clause to end the game?

# Problem 2: Total and average
# Complete the following function so that it asks for
# number from the user until they enter 'q' to quit.
# When they quit, print out the list of numbers,
# then sum and the average of all of the numbers.

def total_and_average():
    numbers = []
    # Solution 2 here
    while True:
        try:
            num = int(input("What is your number? Press any key to stop entering numbers. "))
        except ValueError:
            total = sum(numbers)
            average = total/len(numbers)

            print(f'Your numbers were {numbers}, '
            f'their sum {total} is and their average {average}.')
            break

        else:
            numbers.append(num)

total_and_average()