Math Problem Statement
[ MD = \left|0 - \frac{25}{3}\right| = \frac{25}{3} \approx 8.33 ]
Solution
The equation you've provided represents the calculation of the mean deviation (MD), but let's break it down step by step.
Given:
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Subtraction inside the absolute value:
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Taking the absolute value:
So, the exact value of the mean deviation is:
Let me know if you'd like further details, or have any questions.
Here are 5 related questions to expand on this:
- What is the difference between mean deviation and standard deviation?
- How is the mean deviation formula derived?
- In what situations would you prefer using mean deviation over other measures of dispersion?
- How does the mean deviation change if the reference value (e.g., 0 here) changes?
- 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.
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Math Problem Analysis
Mathematical Concepts
Mean Deviation
Absolute Value
Basic Algebra
Formulas
MD = \left| x_i - \mu \right|
Absolute Value: |a|
Theorems
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Suitable Grade Level
Grades 9-11
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