# Python statistics | median_high()

Median is often referred to as the robust measure of 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 interable 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 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.

 `# 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.

 `# 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

 `# 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.

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