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Percentiles

Explore how to represent data through percentiles and understand empirical percentiles like the median and interquartile range. Learn to compute theoretical percentiles for distributions using the percent point function, and visualize data spread and symmetry with box and whisker plots. This lesson helps you apply these tools using Python's NumPy package to analyze random variables and dataset characteristics.

Representing data through percentiles

Another useful description of a dataset is by using percentiles.

For this we consider ordered data, meaning data that is sorted in ascending order. The 25th25^{th} percentile marks a data point in the ordered data such that 25%25\% of the data is below this data point and thus 75%75\% is above this data point. If we say that the ...