Each of the following three experiments will be repeated one million times and the standard deviation of the one 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 10 numbers is recorded. c. Ten six-sided dice are rolled and the average (the sum of the numbers, divided by 10) is recorded.