12 Mean and standard deviation versus median and IQR#

%%html
<iframe width="700" height="400" src="https://www.youtube.com/embed/qNKOi08NxHs/" frameborder="0" allowfullscreen></iframe>

import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
from scipy import stats

khanacademy

Mean and standard deviation versus median and IQR fig 1

x = np.array([35, 50, 50, 50, 56, 60, 60, 75, 250]) 

print(f'Center Tendency: mean {np.mean(x)} \t\t\t median {np.median(x)}')
print(f'Spread: Standard Deviation {np.std(x, ddof=1)} \t\t\t Interquartile Range {stats.iqr(x)}')

Center Tendency: mean 76.22222222222223 			 median 56.0
Spread: Standard Deviation 66.04691093794202 			 Interquartile Range 10.0

plt.hist(x)

(array([5., 3., 0., 0., 0., 0., 0., 0., 0., 1.]),
 array([ 35. ,  56.5,  78. ,  99.5, 121. , 142.5, 164. , 185.5, 207. ,
        228.5, 250. ]),
 <BarContainer object of 10 artists>)
../_images/12 Mean and standard deviation versus median and IQR_7_1.png

Ref: stackoverflow

# TODO: Dot Plot instead of Histogram
# TODO: IQR doesn't seem to be accurate