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Length of the train = 180 meters
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Speed of the train = 42 km/h
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Speed of the person = 6 km/h
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Both are moving in the same direction
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✅ Step 1: Find relative speed
Since both are moving in the same direction, subtract their speeds:
Relative speed = 42 km/h – 6 km/h = 36 km/h
Now convert km/h to m/s:
36 × (1000 ÷ 3600) = 10 m/s
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✅ Step 2: Use the formula
Time = Distance ÷ Speed
= 180 m ÷ 10 m/s = 18 seconds
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✅ Final Answer: The train will take 18 seconds to pass the person.
Data normalization is the process of adjusting values in a dataset so they are on a common scale, without distorting differences in the data. It’s especially important when you’re comparing values that are measured in different units or have very different ranges.
In simple terms, normalization helps “level the playing field” so different variables can be compared fairly.
🔍 Why Is Data Normalization Important?
1. Ensures Fair Comparisons
When data comes from different sources or scales (e.g., income in dollars and age in years), normalization makes it possible to compare them accurately.
2. Improves Accuracy in Analysis
Many statistical and machine learning models perform better when data is normalized, especially those based on distance (like k-means clustering or nearest neighbor algorithms).
3. Reduces Bias from Extreme Values
Normalization helps minimize the influence of large or small values that could otherwise skew your results.
4. Makes Visualizations Clearer
Normalized data often leads to better graphs and charts by preventing one variable from overshadowing others.
🔢 Common Normalization Methods:
1. Min-Max Scaling
Scales data to a range between 0 and 1.
Formula: (Value – Min) ÷ (Max – Min)
2. Z-score Normalization (Standardization)
Centers data around the mean with a standard deviation of 1.
Formula: (Value – Mean) ÷ Standard Deviation