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The question on your screen is about the normal distribution and asks how much of the data falls within three standard deviations of the mean.

According to the **Empirical Rule** (also known as the 68-95-99.7 rule), in a normal distribution:
- About **68%** of the data falls within **one standard deviation** of the mean.
- About **95%** of the data falls within **two standard deviations** of the mean.
- About **99.7%** of the data falls within **three standard deviations** of the mean.

Therefore, the correct answer is **99.7%**.

Would you like more details on the Empirical Rule or have any questions?

Here are some related questions for further exploration:
1. What does the Empirical Rule tell us about data outside three standard deviations?
2. How is the Empirical Rule useful in quality control?
3. What are some examples of data that follow a normal distribution?
4. How would the percentage within three standard deviations change in a non-normal distribution?
5. How can you calculate z-scores to determine standard deviations from the mean?

**Tip:** The Empirical Rule is particularly useful for estimating probabilities and understanding the spread of data in a normal distribution.

According to the normal distribution, how much of the data falls within 3 standard deviations?

Learn about the Empirical Rule in statistics, which states that 99.7% of data falls within three standard deviations in a normal distribution. This concept is essential for students in Grades 10-12 studying normal distribution and data spread.

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