High School

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Abdul counted the pages in each book on his English class's required reading list.

\[
\begin{tabular}{|c|c|}
\hline
Stem & Leaf \\
\hline
25 & 0001344888 \\
\hline
26 & 379 \\
\hline
27 & 02459 \\
\hline
28 & 369 \\
\hline
\end{tabular}
\]

How many books had at least 268 pages but less than 290 pages?

[tex]$\square$[/tex] books

Answer :

To determine how many books have between 268 and 289 pages, we need to carefully analyze the stem-and-leaf plot, paying attention to the specified range. Let's break it down:

1. Understanding the Stem-and-Leaf Plot:
- Each line in the plot represents a group of tens (the "stem") with its units (the "leaf").
- For example, "25 | 0001344888" means the pages within this range are 250, 250, 250, 251, 253, 254, 254, 258, 258, 258.

2. Identify the Relevant Stems and Leaves:
- We're interested in pages that are at least 268 but less than 290.
- This means we will look at the stems 26, 27, and 28.

3. Counting the Relevant Leaves:
- Stem 26: Leaves relevant here are those representing 268, 269. So, we're looking at leaves 8 and 9. There is 1 such page (269).
- Stem 27: Every leaf here represents a page within the desired range (270, 272, 274, 275, 279). There are 5 leaves here.
- Stem 28: All leaves (283, 286, 289) fall within our range of interest since they are less than 290. There are 3 leaves.

4. Calculate the Total Number of Books:
- Add up all the valid counts: 1 (from stem 26) + 5 (from stem 27) + 3 (from stem 28).
- Therefore, there are a total of 9 books that have between 268 and 289 pages.

So, the number of books with at least 268 pages but less than 290 pages is 9 books.

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