Math Problem Statement

What is the mean absolute deviation of the following set of data? [16, 14, 2, 4, 18, 20, 12, 10]

Solution

The mean absolute deviation (MAD) of the given data set [16,14,2,4,18,20,12,10][16, 14, 2, 4, 18, 20, 12, 10] is 5.05.0.

Would you like more details on how this was calculated or have any further questions?

Here are five related questions:

  1. How does the mean absolute deviation differ from standard deviation?
  2. What is the significance of using mean absolute deviation in data analysis?
  3. How would the MAD change if we added more extreme values to this data set?
  4. Can the MAD be used to measure variability for any type of data?
  5. 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