3. Explain What is the meaning of the key at the bottom of a stem-and- leaf plot? KEY: 1 $$ 17=17 $$

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UpStudy AI · Accepted Answer

In a **stem-and-leaf plot**, the **key** is an essential component that explains how to interpret the numbers displayed in the plot. It serves as a legend or guide, ensuring that anyone reading the plot can understand the data correctly.

### Understanding the Key

Let's break down the example key you provided:

**KEY: 1 | 7 = 17**

Here's what each part represents:

- **Stem (1)**: This is the leading digit(s) of the number. In this case, the stem is **1**.
- **Leaf (7)**: This is the trailing digit of the number, placed to the right of the stem. Here, the leaf is **7**.
- **= 17**: This shows the actual number the stem and leaf represent when combined.

### Putting It All Together

- **Stem (1)** combined with **Leaf (7)** equals **17**.

So, whenever you see **1 | 7** in the stem-and-leaf plot, you can refer to the key to understand that this represents the number **17**.

### Purpose of the Key

- **Clarity**: It clarifies how to read the plot, especially if the data includes multiple digits.
- **Consistency**: Ensures that the interpretation of the stems and leaves is consistent throughout the plot.
- **Reference**: Acts as a quick reference to decode any stem-and-leaf combinations present in the plot.

### Example

Imagine you have the following stem-and-leaf plot:

```
Stem | Leaf
1    | 7 9
2    | 3 5 8
3    | 0 2
```

With the key **1 | 7 = 17**, you can interpret the plot as:

- **1 | 7 = 17**
- **1 | 9 = 19**
- **2 | 3 = 23**
- **2 | 5 = 25**
- **2 | 8 = 28**
- **3 | 0 = 30**
- **3 | 2 = 32**

This makes it easy to understand that the stems represent the tens place and the leaves represent the ones place of each number.

### Summary

The key at the bottom of a stem-and-leaf plot translates the stems and leaves into actual numerical values, ensuring that anyone reading the plot can accurately understand and interpret the data presented.
The key in a stem-and-leaf plot shows how to read the stems and leaves. For example, **1 | 7 = 17** means that the stem "1" with the leaf "7" represents the number 17. This helps in understanding the actual values represented by each stem and leaf combination in the plot.

3. Explain What is the meaning of the key at the bottom of a stem-and- leaf plot? KEY: 1 \( 17=17 \)

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