Link to the previous post: https://statinfer.com/104-3-4-percentiles-quartiles-in-python/

In this post, we will discuss a basics or boxplots and how they help us identify outliers.

We will be carrying same python session form series 104 blog posts, i.e. same datasets.

Box plots and Outlier Detection

Box plots have box from LQ to UQ, with median marked.
They portray a five-number graphical summary of the data Minimum, LQ, Median, UQ, Maximum
Helps us to get an idea on the data distribution
Helps us to identify the outliers easily
25% of the population is below first quartile,
75% of the population is below third quartile
If the box is pushed to one side and some values are far away from the box then it’s a clear indication of outliers

Some set of values far away from box, gives us a clear indication of outliers.
In this example the minimum is 5, maximum is 120, and 75% of the values are less than 15.
Still there are some records reaching 120. Hence a clear indication of outliers.

Sometimes the outliers are so evident that, the box appear to be a horizontal line in box plot.

Box plots and outlier detection on Python

In [30]:

import numpy as np
import matplotlib.pyplot as plt

%matplotlib inline  

plt.boxplot(bank.balance)

Out[30]:

{'boxes': [<matplotlib.lines.Line2D at 0xcbcd400>],
 'caps': [<matplotlib.lines.Line2D at 0xcbdde10>,
  <matplotlib.lines.Line2D at 0xcbddf28>],
 'fliers': [<matplotlib.lines.Line2D at 0xccc4f98>],
 'means': [],
 'medians': [<matplotlib.lines.Line2D at 0xccc4780>],
 'whiskers': [<matplotlib.lines.Line2D at 0xcbcdda0>,
  <matplotlib.lines.Line2D at 0xcbcdeb8>]}

Practice: Box plots and outlier detection

Dataset: “./Bank Marketing/bank_market.csv”
Draw a box plot for balance variable
Do you suspect any outliers in balance ?
Get relevant percentiles and see their distribution.
Draw a box plot for age variable
Do you suspect any outliers in age?
Get relevant percentiles and see their distribution.

In [31]:

plt.boxplot(bank.balance)

Out[31]:

{'boxes': [<matplotlib.lines.Line2D at 0xcc78208>],
 'caps': [<matplotlib.lines.Line2D at 0xcc7fc18>,
  <matplotlib.lines.Line2D at 0xcc7fd30>],
 'fliers': [<matplotlib.lines.Line2D at 0xcc84da0>],
 'means': [],
 'medians': [<matplotlib.lines.Line2D at 0xcc84588>],
 'whiskers': [<matplotlib.lines.Line2D at 0xcc78ba8>,
  <matplotlib.lines.Line2D at 0xcc78cc0>]}

outlier are present in balance variable

In [32]:

#Get relevant percentiles and see their distribution
bank['balance'].quantile([0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1])

Out[32]:

0.0     -8019.0
0.1         0.0
0.2        22.0
0.3       131.0
0.4       272.0
0.5       448.0
0.6       701.0
0.7      1126.0
0.8      1859.0
0.9      3574.0
1.0    102127.0
Name: balance, dtype: float64

In [33]:

# Draw a box plot for age variable
plt.boxplot(bank.age)

Out[33]:

{'boxes': [<matplotlib.lines.Line2D at 0xcf54470>],
 'caps': [<matplotlib.lines.Line2D at 0xcf5be80>,
  <matplotlib.lines.Line2D at 0xcf5bf98>],
 'fliers': [<matplotlib.lines.Line2D at 0xcf65748>],
 'means': [],
 'medians': [<matplotlib.lines.Line2D at 0xcf617f0>],
 'whiskers': [<matplotlib.lines.Line2D at 0xcf54e10>,
  <matplotlib.lines.Line2D at 0xcf54f28>]}

No outliers are present

In [34]:

#Get relevant percentiles and see their distribution
bank['age'].quantile([0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1])

Out[34]:

0.0    18.0
0.1    29.0
0.2    32.0
0.3    34.0
0.4    36.0
0.5    39.0
0.6    42.0
0.7    46.0
0.8    51.0
0.9    56.0
1.0    95.0
Name: age, dtype: float64

Next post is about creating graphs in python.
Link to the next post :https://statinfer.com/104-3-6-creating-graphs-in-python/

24th January 2018

104.3.5 Box Plots and Outlier Detection using Python

Basics of a box plot.

Box plots and Outlier Detection

Box plots and outlier detection on Python

Practice: Box plots and outlier detection

Statinfer

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104.3.5 Box Plots and Outlier Detection using Python

Basics of a box plot.

Box plots and Outlier Detection

Box plots and outlier detection on Python

Practice: Box plots and outlier detection

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