Each of the following three experiments will be repeated 1 million times and the variance of the 1 million results will be calculated. Which of these experiments do you think will have the largest variance? The smallest variance? Explain your reasoning.

a. A six-sided die is rolled and the outcome is recorded.

b. Ten six-sided dice are rolled and the sum of the ten numbers is recorded.

c. Ten six-sided dice are rolled and the average (the sum of the numbers, divided by 10)
is recorded.