normalize or not to normalize

how to normalize

# random 10 point in 2d:
import random
import numpy as np
import matplotlib.pyplot as plt
import math

data = np.random.rand(10, 1)*2
print(data)

[[0.65619743]
 [0.14339821]
 [1.26453043]
 [0.51684767]
 [1.5084185 ]
 [0.60104288]
 [1.8014257 ]
 [0.67697867]
 [0.01956461]
 [1.2869027 ]]

normalize_data = (data - data.min(axis=0)) / (data.max(axis=0) - data.min(axis=0))
print(normalize_data)

[[0.35728533]
 [0.06949678]
 [0.69868849]
 [0.27908071]
 [0.83556114]
 [0.32633199]
 [1.        ]
 [0.36894799]
 [0.        ]
 [0.71124405]]

# plot each point in data how it moved to normalize_data
plt.scatter(np.ones(10)*1 ,data ,color='r')
plt.scatter(np.ones(10)*2 ,normalize_data, color='b')
plt.legend(['data', 'normalize_data'])
plt.show()

meaning of normalization