How To Calculate Mad By Hand

Introduction & Importance

MAD, or Mean Absolute Deviation, is a measure of statistical dispersion. It’s crucial for understanding the spread of data and making informed decisions. Calculating MAD by hand helps you grasp the concept better.

How to Use This Calculator

1. Enter two numbers (n and m) in the input fields.
2. Click the “Calculate MAD” button.
3. View the result and chart below the calculator.

Formula & Methodology

The formula for MAD is: MAD = (1/n) * ∑|xi – xm|, where xi are the data points, xm is the median, and n is the number of data points.

Real-World Examples

Example 1

Data: [2, 4, 4, 4, 5, 5, 7, 9]

Median (m) = 4.5

MAD = (1/8) * (|2-4.5| + |4-4.5| + |4-4.5| + |4-4.5| + |5-4.5| + |5-4.5| + |7-4.5| + |9-4.5|) = 1.875

Example 2

Data & Statistics

Comparison of Dispersion Measures

Measure	Value
MAD	1.875
SD	2.121

MAD Values for Different Data Sets

Expert Tips

• MAD is less affected by outliers than standard deviation.
• It’s useful when data is not normally distributed.
• To calculate MAD for a larger data set, use this calculator or a statistical software.

Interactive FAQ

What is the difference between MAD and standard deviation?

MAD is less sensitive to outliers and is a better measure of dispersion for non-normal data.

For more information, see these authoritative sources:

Statistics How To

Khan Academy