index 1 is out of bounds for axis 0 with size 1

I don’t know why I am getting an error of index. I am quite new to python and therefore am not able to figure out what to do. I think I am initialzing some wrong dimensions but I am not able to break it.

import numpy as np
import matplotlib as plt

x = np.array([45, 68, 41, 87, 61, 44, 67, 30, 54, 8, 39, 60, 37, 50, 19, 86, 42, 29, 32, 61, 25, 77, 62, 98, 47, 36, 15, 40, 9, 25, 34, 50, 61, 75, 51, 96, 20, 13, 18, 35, 43, 88, 25, 95, 68, 81, 29, 41, 45, 87,45, 68, 41, 87, 61, 44, 67, 30, 54, 8, 39, 60, 37, 50, 19, 86, 42, 29, 32, 61, 25, 77, 62, 98, 47, 36, 15, 40, 9, 25, 34, 50, 61, 75, 51, 96, 20, 13, 18, 35, 43, 88, 25, 95, 68, 81, 29, 41, 45, 87])
len_x = len(x)
mean = np.mean(x)

xup = np.zeros(shape=(1,120))
for i in range(len_x) :
    xup[i] = (x[i] - mean) ** 2

xup_sum = np.sum(xup)
var = xup_sum / len_x
std_dev = var ** 0.5

z = np.zeros(shape = (1,120))
for i in range(len_x) :
    z[i] = (x[i] - mean)/std_dev

print("Mean :", mean)
print("Standard_dev :",std_dev)
print("Variance : ",var)

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