Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Percentile

Concept

Percentile

For statistical data on a population, a percentile represents the percentage of the total data that falls below a given data point. Consider the results of a state-wide standardized test; a graph of the scores from least to greatest might take the following shape.

If a student named Jane scored 80%80\% on this test, her score was better than 96%96\% of the other scores recorded in the state. Therefore, Jane's score was at the 96th96^{\text{th}} percentile of the test scores. Compare some other test scores with the rest of the data using the graph below.
Concept

Percentiles in Normally Distributed Data

Normally distributed data is commonly divided into bands, or subsections, that have the width of one standard deviation σ.\sigma.

Given that half the population is to the left of the median μ,\mu, and the first band to the right of the median contains 34.1%34.1\% of the population, it can be stated that the 8484th percentile for normally distributed data is μ+σ.\mu + \sigma.