Math Problem Statement
Solution
The mean absolute deviation (MAD) of the given data set is .
Would you like more details on how this was calculated or have any further questions?
Here are five related questions:
- How does the mean absolute deviation differ from standard deviation?
- What is the significance of using mean absolute deviation in data analysis?
- How would the MAD change if we added more extreme values to this data set?
- Can the MAD be used to measure variability for any type of data?
- How do you calculate the MAD if the data is grouped into frequency classes?
Tip: MAD is useful when you want to measure variability without squaring deviations, which makes it more interpretable than standard deviation in certain cases.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Analysis
Formulas
Mean Absolute Deviation = (1/n) * Σ|x - mean|
Theorems
Mean Theorem
Suitable Grade Level
Grades 6-8
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