median_high() function in Python statistics module (original) (raw)

Last Updated : 30 May, 2022

Median is often referred to as the robust measure of the central location and is less affected by the presence of outliers in data. statistics module in Python allows three options to deal with median / middle elements in a data set, which are median(), median_low() and median_high(). The high median is always a member of the data set. When the number of data points is odd, the middle value is returned. When it is even, the larger of the two middle values is returned. Let's see how median_high() function works.

Syntax : median_high( [data - set] )

Parameters : [data-set] : Takes in a list, or an iterable set of numeric data.

Returntype : Returns the high median of the numeric data (always in actual data-set).

Exceptions : StatisticsError is raised when data-set is empty.

Code #1 : Working

Python `

Python code to demonstrate working of

median_high() on a data-set

importing the statistics module

import statistics

simple list of a set of integers

set1 = [1, 3, 2, 8, 5, 4]

Print high median of the data-set

print("High median of the data-set is %s " % (statistics.median_high(set1)))

`

Output :

High median of the data-set is 4

Code #2 : Working of median_high() and median() to demonstrate the difference between them.

Python3 `

Working of median_high() and median() to

demonstrate the difference between them.

importing the statistics module

import statistics

simple list of a set of integers

set1 = [1, 3, 3, 4, 5, 7]

Print median of the data-set

Median value may or may not

lie within the data-set

print("Median of the set is %s" % (statistics.median(set1)))

Print high median of the data-set

print("High Median of the set is %s " % (statistics.median_high(set1)))

`

Output :

Median of the set is 3.5 High Median of the set is 4

Code #3 : Working of median_high() on a varying range of data-values.

Python3 `

Python code to demonstrate the

working of median_high()

importing statistics module

from statistics import median_high

Importing fractions module as fr

from fractions import Fraction as fr

tuple of positive integer numbers

data1 = (2, 3, 4, 5, 7, 9, 11)

tuple of a set of floating-point values

data2 = (2.4, 5.1, 6.7, 8.9)

tuple of a set of fractional numbers

data3 = (fr(1, 2), fr(44, 12), fr(10, 3), fr(2, 3))

tuple of a set of negative integers

data4 = (-5, -1, -12, -19, -3)

tuple of set of positive

and negative integers

data5 = (-1, -2, -3, -4, 4, 3, 2, 1)

Print the high_median() of the given data-sets

print("High Median of data-set 1 is %s" % (median_high(data1))) print("High Median of data-set 2 is %s" % (median_high(data2))) print("High Median of data-set 3 is %s" % (median_high(data3))) print("High Median of data-set 4 is %s" % (median_high(data4))) print("High Median of data-set 5 is %s" % (median_high(data5)))

`

Output :

High Median of data-set 1 is 5 High Median of data-set 2 is 6.7 High Median of data-set 3 is 10/3 High Median of data-set 4 is -5 High Median of data-set 5 is 1

Code #4 : Demonstration of StatisticsError

Python3 `

Python code to demonstrate

StatisticsError of median_high()

importing the statistics module

from statistics import median_high

creating an empty data-set

empty = []

will raise StatisticsError

print(median_high(empty))

`

Output :

Traceback (most recent call last): File "/home/fc2eae1616bfaa0987b261d9d40f4602.py", line 10, in print(median_high(empty)) File "/usr/lib/python3.5/statistics.py", line 398, in median_high raise StatisticsError("no median for empty data") statistics.StatisticsError: no median for empty data

Applications : The high median is used only when the data is discrete and the prefer the median to be an actual median rather than an interpolated set of data.