Standardize Feature Work

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Support Vector Machine tries to maximize the distance between the separating plane and the support vectors. If one feature has very large values, it will dominate over other features when calculating the distance. So Standardization gives all features the same influence on the distance metric.
In order to measure similarities between observations and form clusters they use a distance metric. So, features with high ranges will have a bigger influence on the clustering. Therefore, standardization is required before building a clustering model.
Standardization involves transforming the features such that they have a mean of zero and a standard deviation of one. This is done by subtracting the mean and dividing by the standard deviation of each feature. On the other hand, normalization scales the features to a fixed range, usually [0, 1].
Feature scaling through standardization, also called Z-score normalization, is an important preprocessing step for many machine learning algorithms. It involves rescaling each feature such that it has a standard deviation of 1 and a mean of 0.
We normalize training data to solve the model learning challenge. We make sure that the various features have similar value ranges (feature scaling) so that gradient descents can converge faster.
Standardization is used for feature scaling when your data follows Gaussian distribution. It is most useful for: Optimizing algorithms such as gradient descent. Clustering models or distance-based classifiers like K-Nearest Neighbors.
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