Mean Absolute Deviation Calculator
Calculate the average distance of data points from the mean. Enter comma-separated values to find MAD with detailed step-by-step analysis and visualizations.
📈 Mean Absolute Deviation (MAD) Calculator
Statistical Measure: MAD measures the average absolute distance between each data point and the mean, providing insight into data variability and spread.
Practical Applications: Quality control, risk assessment, performance evaluation, and any analysis requiring understanding of data consistency and deviation patterns.
Easy to Interpret: Unlike variance, MAD uses the same units as your original data, making it intuitive to understand and communicate to non-technical audiences.
📊 MAD Calculator
Mean Absolute Deviation Formula:
• Σ = summation symbol (add all values)
• xi = each individual data value
• x̄ = mean (average) of all data values
• |xi - x̄| = absolute difference from mean
• n = total number of data values
📝 Example Input:
10, 34, 23, 54, 9
📚 Important Notes
Data Requirements: Enter at least 2 numerical values. MAD is sensitive to extreme values (outliers) which can significantly affect the result. For datasets with extreme outliers, consider using median absolute deviation or other robust measures.