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To calculate the mean from the histogram, we first need the data values and their respective frequencies. From the histogram, the data values (or bins) and frequencies are as follows:

- Value 6 has a frequency of 1
- Value 7 has a frequency of 3
- Value 8 has a frequency of 4
- Value 9 has a frequency of 5
- Value 10 has a frequency of 4
- Value 11 has a frequency of 3
- Value 12 has a frequency of 1

We can compute the mean using the following formula:

\[
\text{Mean} = \frac{\sum (\text{Value} \times \text{Frequency})}{\sum \text{Frequencies}}
\]

Let me calculate this for you.The mean of the data represented in the histogram is 9.0.

Would you like further clarification or details? Here are some related questions:

1. How is the median calculated from a histogram?
2. What is the mode of the data based on this histogram?
3. Can you explain how standard deviation is calculated?
4. How would the mean change if the frequencies were altered?
5. What is the significance of a symmetrical histogram in terms of mean and median?

**Tip:** When calculating the mean, ensure all frequencies and corresponding values are included for accurate results.

This problem involves calculating the mean of a dataset represented by a histogram. Data values and frequencies are provided, and the mean is computed using the sum of values multiplied by their frequencies. Suitable for students in Grades 6-9.

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