Suppose you rolled the two number cubes 100 times, how do you think your data might change? Explain. (3 points possible)
1. Variability: With a larger sample size, the variability in the data is likely to decrease. As you roll the number cubes more times, the results will start to stabilize and the distribution of outcomes will become clearer. This can help to identify any patterns or trends that may not have been apparent with a smaller sample size.
2. Distribution: With 100 rolls of the number cubes, you may start to see a more even distribution of outcomes across the possible numbers on each cube. As the sample size increases, the probability of each number coming up should start to approach the theoretical probability for a fair six-sided die (1/6 for each number).
3. Confidence in results: With a larger sample size, you can have more confidence in the accuracy and reliability of your data. The more times you roll the number cubes, the more confident you can be in the conclusions you draw from the results. This can help to reduce the impact of any outliers or anomalies that may occur with a smaller sample size.