What is the mean of 1 | 6
2 |
3 | 4 9
4 | 0 1 4 8
5 | 0 1 5 6 9
6 | 2 3 3 6

The data you've provided appears to be in a **stem-and-leaf plot** format. Here's the interpretation of the numbers:

- **Stem 1 | 6**: Represents the number 16.
- **Stem 2 | (empty)**: Represents no numbers for the 20s range.
- **Stem 3 | 4 9**: Represents the numbers 34 and 39.
- **Stem 4 | 0 1 4 8**: Represents the numbers 40, 41, 44, and 48.
- **Stem 5 | 0 1 5 6 9**: Represents the numbers 50, 51, 55, 56, and 59.
- **Stem 6 | 2 3 3 6**: Represents the numbers 62, 63, 63, and 66.

### The full data set is:  
16, 34, 39, 40, 41, 44, 48, 50, 51, 55, 56, 59, 62, 63, 63, 66

Now, let's calculate the **mean** (average):

The formula for the mean is:

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

I will calculate that next.The mean of the given data is \( 49.1875 \).

Would you like more details or have any questions about the calculation?

Here are 5 related questions:
1. How would the mean change if an additional value were added to the data set?
2. Can you calculate the median of this stem-and-leaf data?
3. What is the range of the numbers in this dataset?
4. How does the presence of multiple 63's affect the data's distribution?
5. What is the variance or standard deviation of the dataset?

**Tip:** In a stem-and-leaf plot, the "leaf" part gives the actual digits, while the "stem" indicates the leading digit (tens, hundreds, etc.).

Calculate the mean of a dataset represented in a stem-and-leaf plot. This example involves interpreting the plot and finding the mean of numbers like 16, 34, 39, and others. Suitable for students in Grades 6-8 learning about data interpretation and mean calculation.

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