1) A researcher has collected data on rolling dice. The researcher instructs a group of participants to roll 3 six-sided dice and calculates the sum. The researcher then trains the participants on an innovative dicerolling technique. After training, the same participants roll the dice, and the researcher calculates the sum. Using Excel, calculate the mean, median, variance and standard deviation for each data set. In your opinion, explain which technique resulted in the better rolls (assume a higher roll is better), and why?

A. Untrained: 12, 18, 16, 17, 16, 11, 9, 6, 5, 8, 14, 12

B. Trained: 14, 17, 17, 18, 14, 15, 10, 9, 11, 9, 16, 13