https://file.aiquickdraw.com/mathbot/file/1730255728884ppfh7hkq.jpg

To determine the percentage of U.S. females with heights between 5'6" and 5'11" based on the normal distribution shown, let's analyze the data provided in the image.

The heights between 5'6" and 5'11" cover:
- The area between 5'6" and 5'9", which is labeled as **34%**.
- The area between 5'9" and 5'11", labeled as **13.5%**.

Adding these together gives:
\[
34\% + 13.5\% = 47.5\%
\]

Thus, the percentage of females between 5'6" and 5'11" in height is **47.5%**. 

However, none of the answer options (16%, 81.5%, 68%, 95%) match this exact value, which might indicate an error in the options provided. Let me know if you need more assistance or if this question requires additional context.

Would you like further details or have questions?

### Related Questions
1. What is the total percentage of females within one standard deviation of the mean height?
2. How is the standard normal distribution used in population studies?
3. What percentage of females are below a height of 5'5"?
4. Why are some distributions symmetric, like this height distribution?
5. How is the empirical rule (68-95-99.7 rule) applied in normal distributions?

### Tip
In normal distributions, around 68% of the data falls within one standard deviation of the mean.

The normal distribution curves represent U.S. female heights. What percentage of females are between 5'6" and 5'11"?

Learn how to determine the percentage of U.S. females between the heights of 5'6" and 5'11" based on a normal distribution. This problem explores concepts in statistics, including probability, the normal distribution curve, and the empirical rule. Suitable for high school students in Grades 9-12.

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