Final answer:
To calculate the average after rolling dice, sum the faces of the dice for each roll and divide by the number of dice, then average these results across multiple rolls. The provided example includes an improbable average suggesting a typo or misunderstanding in the question.
Step-by-step explanation:
To calculate the average or mean after a certain number of rolls, you will have to find the sum of the results of those rolls and then divide by the number of rolls. In the collaborative exercise provided, students calculate the average by rolling dice multiple times and computing the sample means.
For instance, if you roll five fair dice and the faces show 2, 2, 3, 4, and 6, you would calculate the mean as follows:
- Add the numbers: 2 + 2 + 3 + 4 + 6 = 17
- Divide by the number of dice: 17 / 5 = 3.4
This calculated mean is 3.4 for this single roll with five dice. If you repeat this ten times, you would record ten means and then calculate their average to find the overall sample mean.
The information about the average after 10 rolls being -55/10 implies that the average of the sums of the dice over 10 rolls is -5.5. Since dice cannot result in negative outcomes, there might be a mistake with this result unless it's a hypothetical scenario for learning purposes.