# Pandas mad(), min(), max(), mean(), median(), and mode()

The Pandas DataFrame has several methods concerning Computations and Descriptive Stats. When applied to a DataFrame, these methods evaluate the elements and return the results.

## Preparation

Before any data manipulation can occur, two (2) new libraries will require installation.

• The NumPy library supports multi-dimensional arrays and matrices in addition to a collection of mathematical functions.

To install these libraries, navigate to an IDE terminal. At the command prompt (`\$`), execute the code below. For the terminal used in this example, the command prompt is a dollar sign (`\$`). Your terminal prompt may be different.

`\$ pip install pandas`

Hit the `<Enter>` key on the keyboard to start the installation process.

`\$ pip install numpy`

Hit the `<Enter>` key on the keyboard to start the installation process.

If the installations were successful, a message displays in the terminal indicating the same.

Feel free to view the PyCharm installation guide for the required libraries.

Add the following code to the top of each code snippet. This snippet will allow the code in this article to run error-free.

```import pandas as pd
import numpy as np ```

The `mad()` method (Mean Absolute Deviation) is the average distance of all DataFrame elements from the mean.

To fully understand MAD from a mathematical point of view, feel free to watch this short tutorial:

The syntax for this method is as follows:

`DataFrame.mad(axis=None, skipna=None, level=None)`

This example retrieves the MAD of four (4) Hockey Teams.

```df_teams = pd.DataFrame({'Bruins':   [4, 5, 9],
'Oilers':   [3, 6, 10],
'Leafs':    [2, 7, 11],
'Flames':   [1, 8, 12]})

print(result)```
• Line [1] creates a DataFrame from a Dictionary of Lists and saves it to `df_teams`.
• Line [2] uses the `mad() `method with the `axis` parameter set to columns to calculate MAD from the DataFrame. The lambda function formats the output to three (3) decimal places. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

## DataFrame min()

The `min()` method returns the smallest value(s) from a DataFrame/Series. The following methods can accomplish this task:

The syntax for this method is as follows:

`DataFrame.min(axis=None, skipna=None, level=None, numeric_only=None, **kwargs)`

For this example, we will determine which Team(s) have the smallest amounts of wins, losses, or ties.

Code Example 1

```df_teams = pd.DataFrame({'Bruins':    [4, 5,  9],
'Oilers':    [3, 6, 14],
'Leafs':     [2, 7, 11],
'Flames':    [21, 8, 7]})

result = df_teams.min(axis=0)
print(result)```
• Line [1] creates a DataFrame from a dictionary of lists and saves it to `df_teams`.
• Line [2] uses the `min()` method with the axis parameter set to columns to retrieve the minimum value(s) from the DataFrame. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

This example uses two (2) arrays and retrieves the Series’s minimum value(s).

Code Example 2

```c11_grades = [63, 78, 83, 93]
c12_grades = [73, 84, 79, 83]

print(result)```
• Line [1-2] creates lists of random grades and assigns them to the appropriate variable.
• Line [3] uses NumPy minimum to compare the two (2) arrays. This output saves to the `result` variable.
• Line [4] outputs the result to the terminal.

Output

`[63 78 79 83]`

## DataFrame max()

The `max()` method returns the largest value(s) from a DataFrame/Series. The following methods can accomplish this task:

The syntax for this method is as follows:

`DataFrame.max(axis=None, skipna=None, level=None, numeric_only=None, **kwargs)`

For this example, we will determine which Team(s) have the most significant amounts of wins, losses, or ties.

Code Example 1

```df_teams = pd.DataFrame({'Bruins':    [4, 5,  9],
'Oilers':    [3, 6, 14],
'Leafs':     [2, 7, 11],
'Flames':    [21, 8, 7]})

result = df_teams.max(axis=0)
print(result)```
• Line [1] creates a DataFrame from a Dictionary of Lists and saves it to `df_teams`.
• Line [2] uses `max()` with the `axis` parameter set to columns to retrieve the maximum value(s) from the DataFrame. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

This example uses two (2) arrays and retrieves the Series’s maximum value(s).

Code Example 2

```c11_grades = [63, 78, 83, 93]
c12_grades = [73, 84, 79, 83]

print(result)```
• Line [1-2] creates lists of random grades and assigns them to the appropriate variable.
• Line [3] uses the NumPy library maximum function to compare the two (2) arrays. This output saves to the `result` variable.
• Line [4] outputs the result to the terminal.

Output

`[73 84 83 93]`

## DataFrame mean()

The `mean()` method returns the average of the DataFrame/Series across a requested axis. If a DataFrame is used, the results will return a Series. If a Series is used, the result will return a single number (float).

The following methods can accomplish this task:

• The `DataFrame.mean()` method, or
•  The `Series.mean()` method

The syntax for this method is as follows:

`DataFrame.mean(axis=None, skipna=None, level=None, numeric_only=None, **kwargs)`

For this example, we will determine the average wins, losses, and ties for our Hockey Teams.

Code Example 1

```df_teams = pd.DataFrame({'Bruins':    [4, 5,  9],
'Oilers':    [3, 6, 14],
'Leafs':     [2, 7, 11],
'Flames':    [21, 8, 7]})

result = df_teams.mean(axis=0).apply(lambda x:round(x,2))
print(result)```
• Line [1] creates a DataFrame from a Dictionary of Lists and saves it to `df_teams`.
• Line [2] uses the `mean()` method with the `axis` parameter set to columns to calculate means (averages) from the DataFrame. The lambda function formats the output to two (2) decimal places. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

For this example, Alice Accord, an employee of Rivers Clothing, has logged her hours for the week. Let’s calculate the mean (average) hours worked per day.

Code Example 2

```hours  = pd.Series([40.5, 37.5, 40, 55])
result = hours.mean()
print(result)```
• Line [1] creates a Series of hours worked for the week and saves hours.
• Line [2] uses the `mean()` method to calculate the mean (average). This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

`42.25`

## DataFrame median()

The `median()` method calculates and returns the median of DataFrame/Series elements across a requested axis. In other words, the median determines the middle number(s) of the dataset.

To fully understand median from a mathematical point of view, watch this short tutorial:

The syntax for this method is as follows:

`DataFrame.median(axis=None, skipna=None, level=None, numeric_only=None, **kwargs)`

We will determine the median value(2) for our Hockey Teams for this example.

```df_teams = pd.DataFrame({'Bruins':    [4, 5,  9],
'Oilers':    [3, 6, 14],
'Leafs':     [2, 7, 11],
'Flames':    [21, 8, 7]})

result = df_teams.median(axis=0)
print(result)```
• Line [1] creates a DataFrame from a dictionary of lists and saves it to `df_teams`.
• Line [2] uses the `median()` method to calculate the median of the Teams. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

## DataFrame mode()

The `mode()` method determines the most commonly used numbers in a DataFrame/Series.

The syntax for this method is as follows:

`DataFrame.mode(axis=0, numeric_only=False, dropna=True)`

For this example, we determine the numbers that appear more than once.

```df_teams = pd.DataFrame({'Bruins':    [4, 5,  9],
'Oilers':    [3, 9, 13],
'Leafs':     [2, 7, 4],
'Flames':    [13, 9, 7]})

result = df_teams.mode(axis=0)
print(result)```
• Line [1] creates a DataFrame from a Dictionary of Lists and saves it to `df_teams`.
• Line [2] uses the `mode()` method across the column `axis`. This output saves to the `result` variable.
• Line [3] outputs the result to the terminal.

Output

You can see where the numbers come from in this visualization:

## Further Learning Resources

This is Part 4 of the DataFrame method series.

• Part 1 focuses on the DataFrame methods `abs()`, `all()`, `any()`, `clip()`, `corr()`, and `corrwith()`.
• Part 2 focuses on the DataFrame methods `count()`, `cov()`, `cummax()`, `cummin()`, `cumprod()`, `cumsum()`.
• Part 3 focuses on the DataFrame methods `describe()`, `diff()`, `eval()`, `kurtosis()`.
• Part 4 focuses on the DataFrame methods `mad()`, `min()`, `max()`, `mean()`, `median()`, and `mode()`.
• Part 5 focuses on the DataFrame methods `pct_change()`, `quantile()`, `rank()`, `round()`, `prod()`, and `product()`.
• Part 6 focuses on the DataFrame methods `add_prefix()`, `add_suffix()`, and `align()`.
• Part 7 focuses on the DataFrame methods `at_time()`, `between_time()`, `drop()`, `drop_duplicates()` and `duplicated()`.
• Part 8 focuses on the DataFrame methods `equals()`, `filter()`, `first()`, `last(), head()`, and `tail()`
• Part 9 focuses on the DataFrame methods `equals()`, `filter()`, `first()`, `last()`, `head()`, and `tail()`
• Part 10 focuses on the DataFrame methods `reset_index()`, `sample()`, `set_axis()`, `set_index()`, `take()`, and `truncate()`
• Part 11 focuses on the DataFrame methods `backfill()`, `bfill()`, `fillna()`, `dropna()`, and `interpolate()`
• Part 12 focuses on the DataFrame methods `isna()`, `isnull()`, `notna()`, `notnull()`, `pad()` and `replace()`
• Part 13 focuses on the DataFrame methods `drop_level()`, `pivot()`, `pivot_table()`, `reorder_levels()`, `sort_values()` and `sort_index()`
• Part 14 focuses on the DataFrame methods `nlargest()`, `nsmallest()`, `swap_level()`, `stack()`, `unstack()` and `swap_axes()`
• Part 15 focuses on the DataFrame methods `melt()`, `explode()`, `squeeze()`, `to_xarray()`, `t()` and `transpose()`
• Part 16 focuses on the DataFrame methods `append()`, `assign()`, `compare()`, `join()`, `merge()` and `update()`
• Part 17 focuses on the DataFrame methods `asfreq()`, `asof()`, `shift()`, `slice_shift()`, `tshift()`, `first_valid_index()`, and `last_valid_index()`
• Part 18 focuses on the DataFrame methods `resample()`, `to_period()`, `to_timestamp()`, `tz_localize()`, and `tz_convert()`
• Part 19 focuses on the visualization aspect of DataFrames and Series via plotting, such as `plot()`, and `plot.area()`.
• Part 20 focuses on continuing the visualization aspect of DataFrames and Series via plotting such as hexbin, hist, pie, and scatter plots.
• Part 21 focuses on the serialization and conversion methods `from_dict()`, `to_dict()`, `from_records()`, `to_records()`, `to_json()`, and `to_pickles()`.
• Part 22 focuses on the serialization and conversion methods `to_clipboard()`, `to_html()`, `to_sql()`, `to_csv()`, and `to_excel()`.
• Part 23 focuses on the serialization and conversion methods `to_markdown()`, `to_stata()`, `to_hdf()`, `to_latex()`, `to_xml()`.
• Part 24 focuses on the serialization and conversion methods `to_parquet()`, `to_feather()`, `to_string()`, `Styler`.
• Part 25 focuses on the serialization and conversion methods `to_bgq()` and `to_coo()`.

Also, have a look at the Pandas DataFrame methods cheat sheet!