I am collecting some data from my android application. How to run a python script in my android application that uses the collected data as input and generates some output?
Consider Jython, Jython is an implementation of the high-level, dynamic, object-oriented language Python seamlessly integrated with the Java platform. The predecessor to Jython, JPython, is certified as 100% Pure Java.

mbedded scripting - Java programmers can add the Jython libraries to
their system to allow end users to write simple or complicated
scripts that add functionality to the application.
Interactive experimentation - Jython provides an interactive
interpreter that can be used to interact with Java packages or with
running Java applications. This allows programmers to experiment and
debug any Java system using Jython.
Rapid application development - Python programs are typically 2-10X
shorter than the equivalent Java program. This translates directly
to increased programmer productivity. The seamless interaction
between Python and Java allows developers to freely mix the two
languages both during development and in shipping products.


The awesome features of Jython are as follows,


Dynamic compilation to Java bytecodes - leads to highest possible
performance without sacrificing interactivity.
Ability to extend existing Java classes in Jython - allows effective
use of abstract classes.

Jython doesn't compile to "pure java", it compiles to java bytecode subsequently to class files. To develop for Android, one compile java bytecode to Dalvik bytecode. To be honest, this path of development is not official , thus you will run into lots of problem with compatibility of course.
Running Python Script from Android Activity