Show this information in a stem and leaf diagram.
Understand the Problem
The question is asking to create a stem-and-leaf diagram using the given heights of sunflowers. This involves organizing the data into a format where the stem represents the leading digit(s) and the leaf represents the last digit. We will sort the data and categorize it accordingly.
Answer
The stem-and-leaf diagram is: ``` Stem | Leaf 16 | 0, 2, 8 17 | 2, 2, 3, 7, 8 18 | 0, 0, 3, 4, 6, 8 19 | 1, 7 ```
Answer for screen readers
The stem-and-leaf diagram is as follows:
Stem | Leaf
16 | 0, 2, 8
17 | 2, 2, 3, 7, 8
18 | 0, 0, 3, 4, 6, 8
19 | 1, 7
Steps to Solve
- Organize the Data
First, we need to arrange the heights of the sunflowers in ascending order:
160, 162, 168, 172, 172, 173, 177, 178, 180, 180, 183, 184, 186, 188, 191, 197
- Identify Stems and Leaves
Next, determine the stem and leaf values. The stem will be the leading digits (the tens place), while the leaf will be the last digit (the units place). For example, for the height 168, the stem is 16 and the leaf is 8.
- Create the Stem-and-Leaf Diagram
Based on the organized heights, we can construct the stem-and-leaf diagram:
- Stem | Leaf
- 16 | 0, 2, 8
- 17 | 2, 2, 3, 7, 8
- 18 | 0, 0, 3, 4, 6, 8
- 19 | 1, 7
- Format the Diagram
Ensure the stem and leaf diagrams are properly formatted and easy to read. The leaf should be listed in ascending order next to its corresponding stem.
The stem-and-leaf diagram is as follows:
Stem | Leaf
16 | 0, 2, 8
17 | 2, 2, 3, 7, 8
18 | 0, 0, 3, 4, 6, 8
19 | 1, 7
More Information
Stem-and-leaf diagrams are useful for visualizing data without losing information. They can provide a quick sense of the shape and spread of the data while still allowing for precise values to be retrieved.
Tips
- Forgetting to sort the data: Always sort the data first before creating the diagram.
- Incorrect stem or leaf values: Ensure the leading digits correctly represent the stem and the last digit is the leaf.
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