Python clustering homework

[wjpython]

Dear all,

I really need your help with this assignment:

generate random data with dimension 5 and 4 clusters, then calculate the validity index for various values of k and show that k=4 has the highest validity

im really new to pyhton and i'm managed to do this so far

import numpy as np
import pandas as pd
from numpy.random import random
from numpy.random import randn
np.random.seed(20)
y=pd.DataFrame(randn(4,5))
print(y)

can anyone tell me how to write the full alogrithm , it would be muuuuuch appreciateeed