do you have any idea how to make 200 evenly spaced out bins, and have your program store the data in the appropriate bins?
You can, for example, use NumPy's arange for a fixed bin size (or Python's standard range object), and NumPy's linspace for evenly spaced bins. Here are 2 simple examples from my matplotlib gallery
import numpy as np
import random
from matplotlib import pyplot as plt
data = np.random.normal(0, 20, 1000)
# fixed bin size
bins = np.arange(-100, 100, 5) # fixed bin size
plt.xlim([min(data)-5, max(data)+5])
plt.hist(data, bins=bins, alpha=0.5)
plt.title('Random Gaussian data (fixed bin size)')
plt.xlabel('variable X (bin size = 5)')
plt.ylabel('count')
plt.show()

import numpy as np
import math
from matplotlib import pyplot as plt
data = np.random.normal(0, 20, 1000)
bins = np.linspace(math.ceil(min(data)),
math.floor(max(data)),
20) # fixed number of bins
plt.xlim([min(data)-5, max(data)+5])
plt.hist(data, bins=bins, alpha=0.5)
plt.title('Random Gaussian data (fixed number of bins)')
plt.xlabel('variable X (20 evenly spaced bins)')
plt.ylabel('count')
plt.show()

how to make 200 evenly spaced out bins, and have your program store the data in the appropriate bins?
The accepted answer manually creates 200 bins with numpy.arange and numpy.linspace, but there are functions for automatic binning:
numpy.histogramReturns edges that work directly with pyplot.stairs (new in matplotlib 3.4.0):
values, edges = np.histogram(data, bins=200)
plt.stairs(values, edges, fill=True)
pandas.cutReturns bins that work directly with pyplot.hist:
_, bins = pd.cut(data, bins=200, retbins=True)
plt.hist(data, bins)

If you don't need to store the bins, then skip the binning step and just plot the histogram with bins as an integer:
pyplot.hist
plt.hist(data, bins=200)
seaborn.histplot
sns.histplot(data, bins=200)
pandas.DataFrame[.plot].hist or pandas.Series[.plot].hist
pd.Series(data).plot.hist(bins=200)
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