Data Preprocessing & Normalization
Master feature scaling concepts. Compare Min-Max scaling, Z-score standardization, Log transform, and Robust scaling. Drag points and see outlier clipping in real-time.
Interactive Sandbox
Data Scaling Timelines Visualizer
Click inside the top number line area to place raw feature points ($X$). Drag points horizontally, or double-click to remove. Choose a transformation scaling method and configure clipping bounds to manage outliers.
Timeline: Raw X vs Scaled X'
1. Select Data Preset
2. Select Normalization Method
3. Outlier Clipping (Winsorization)
Double-click on the top timeline area to add a point. Drag nodes horizontally to observe how parameters adjust.
Algebraic Solver
Preprocessing & Scaling Solver
Trace data statistics calculations and step-by-step scaling formulas used to transform raw features.
Step-by-Step Transformations
Raw Feature X Statistics
Central Tendencies
Mean (μ)
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Median (Q2)
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Dispersion & Spread
Std Deviation (σ)
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Interquartile Range (IQR)
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Extremes
Minimum Value (x_min)
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Maximum Value (x_max)
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Evaluation
Feature Scaling Quiz
Test your conceptual understanding of normalization, z-scores, log scale benefits, and outlier protection.
Question 1 of 5
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Correct Answer!
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Scaling Formulas
- Min-Max: x' = (x - x_min) / (x_max - x_min)
- Z-Score: z = (x - μ) / σ
- Robust: x' = (x - median) / IQR