A stemplot, or stem-and-leaf plot, is a graphical method used to display quantitative data in a way that preserves the original data values while showing the distribution. It divides each data point into a stem (the leading digit or digits) and a leaf (the last digit).

Example:

Consider the following set of data:

55, 63, 61, 47, 51, 72, 74, 59, 68, 62

Step 1: Organize the data in ascending order:

47, 51, 55, 59, 61, 62, 63, 68, 72, 74

Step 2: Create the stem-and-leaf plot.

• The stem is the tens digit.
• The leaf is the ones digit.

Stem-and-Leaf Plot:

4 | 7
5 | 1 5 9
6 | 1 2 3 8
7 | 2 4

Explanation:

• The first row shows the "stem" 4, which represents the number 40-49. The "leaf" 7 represents the data point 47.
• The second row shows the "stem" 5, representing 50-59. The leaves 1, 5, and 9 correspond to 51, 55, and 59.
• This pattern continues for the remaining numbers.

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If you need more details on reading or creating stemplots, or have other related questions, feel free to ask!

Expanding Questions:

1. How would you interpret the data distribution in this stemplot?
2. Can you explain how stemplots compare to histograms?
3. What are the advantages of using a stemplot over other graphical representations?
4. How do you handle decimal numbers in a stemplot?
5. Can you create a stemplot with a larger dataset?

Tip: Stemplots are great for small to medium-sized datasets, as they allow you to quickly visualize the shape of the data while keeping the original values intact.