The number of pages in each book on a shelf is shown below:

300, 220, 450, 410, 240, 330, 290, 310, 350, 280

To analyze the number of pages in the books on the shelf, we can calculate several basic statistics: mean (average), median, mode, range, and standard deviation.

Let's go through these calculations:

1. **Mean (Average)**: The sum of all pages divided by the total number of books.
2. **Median**: The middle value when all numbers are arranged in ascending order.
3. **Mode**: The most frequently occurring value (if any).
4. **Range**: The difference between the largest and smallest values.
5. **Standard Deviation**: A measure of how spread out the numbers are from the mean.

Let me calculate these for you.Here are the calculated statistics for the number of pages in the books:

1. **Mean (Average)**: 318 pages
2. **Median**: 305 pages
3. **Mode**: 220 pages
4. **Range**: 230 pages (difference between the maximum and minimum values)
5. **Standard Deviation**: 67.35 pages (approximately)

Would you like further details or have any questions about these statistics?

Here are five related questions:
1. What would happen to the mean if you added another book with 500 pages?
2. How would the median change if one of the middle books had 400 pages?
3. If you remove the book with the fewest pages, what impact would this have on the range?
4. How does standard deviation help in understanding the spread of pages in these books?
5. Is it possible to have more than one mode? If so, how?

**Tip**: The median is a robust measure of central tendency, as it is less affected by extreme values than the mean.

Explore the statistical analysis of bookshelf data including mean, median, mode, range, and standard deviation. Learn how these measures provide insights into the distribution of pages in books on a shelf. Suitable for Grades 7-9 students.

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