[
MD = \left|0 - \frac{25}{3}\right| = \frac{25}{3} \approx 8.33
]

The equation you've provided represents the calculation of the **mean deviation** (MD), but let's break it down step by step.

Given:

\[
MD = \left|0 - \frac{25}{3}\right|
\]

1. **Subtraction inside the absolute value**:
   \[
   0 - \frac{25}{3} = -\frac{25}{3}
   \]

2. **Taking the absolute value**:
   \[
   \left| -\frac{25}{3} \right| = \frac{25}{3}
   \]

So, the exact value of the mean deviation is:

\[
MD = \frac{25}{3} \approx 8.33
\]

Let me know if you'd like further details, or have any questions.

Here are 5 related questions to expand on this:

1. What is the difference between **mean deviation** and **standard deviation**?
2. How is the **mean deviation** formula derived?
3. In what situations would you prefer using **mean deviation** over other measures of dispersion?
4. How does the **mean deviation** change if the reference value (e.g., 0 here) changes?
5. Can you explain how absolute values affect measures of dispersion like **mean deviation**?

**Tip**: The absolute value function ensures that deviations from the mean are always positive, which prevents negative values from canceling out positive ones in deviation calculations.

MD = \left|0 - \frac{25}{3}\right| = \frac{25}{3} \approx 8.33

Learn how to calculate the mean deviation (MD) using absolute values with a step-by-step solution. This problem illustrates key algebraic concepts such as mean deviation and absolute value, suitable for students in Grades 9-11.

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