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For question 8, the estimate for the mean foot length of the children is approximately \( 17.1 \, \text{cm} \) (to 3 significant figures).

For question 9, the estimate for the standard deviation of the foot lengths is approximately \( 3.28 \, \text{cm} \) (to 3 significant figures).

Do you need details or have any questions? Here are five more questions you might want to ask:

1. How is the variance calculated from the given data?
2. Can you explain how the midpoints of the intervals are determined?
3. What steps are involved in finding the mean from grouped data?
4. How do you interpret the standard deviation in this context?
5. Can we use this method for any grouped data?

**Tip:** When calculating the mean and standard deviation from grouped data, ensure you correctly determine the midpoints of each class interval, as they are crucial for accurate results.

Learn how to estimate the mean and standard deviation from grouped data. This problem involves calculating the mean foot length and standard deviation of children's foot lengths, with results approximately 17.1 cm and 3.28 cm, respectively. Suitable for advanced high school students studying statistics.

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