Roll a die (6, 12, or 20 sided) 20 times and record the result.
a) Find the median, mean, and the mode
b) Find the standard deviation
c) What percentage of the data falls within a standard deviation from the
average?

Here are the results based on rolling a 12-sided die 20 times:

**a) Median, Mean, and Mode:**
- **Median**: 7.0
- **Mean**: 6.65
- **Mode**: 8 (the most frequent value)

**b) Standard Deviation**: 2.71 (approximately)

**c) Percentage of data within one standard deviation from the mean**: 65% of the values fall within one standard deviation from the mean.

Would you like further details on any of these calculations or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the calculations change with a different die (e.g., 6-sided or 20-sided)?
2. What happens to the standard deviation when you increase the number of rolls?
3. How would the percentage of data within one standard deviation compare for a larger sample?
4. Why is the mode important in analyzing the results of random die rolls?
5. How does the distribution of these rolls compare to a theoretical uniform distribution?

**Tip**: For data sets with fewer values, like 20 rolls, the mode might not always provide significant insights if there's no clear frequent number.

Roll a die (6, 12, or 20 sided) 20 times and record the result.
a) Find the median, mean, and the mode
b) Find the standard deviation
c) What percentage of the data falls within a standard deviation from the average?

Discover how to calculate the median, mean, mode, and standard deviation for a 12-sided die rolled 20 times. Understand the statistical significance of these values and explore how 65% of the data falls within one standard deviation of the mean. Suitable for students in Grades 10-12.

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