Chapters
What Are Percentiles?
The percentile is a statistical measure which divides a series of data ordered from smallest to largest into one hundred equal parts. It is an indicator that seeks to show the proportion of the data series that falls below its value.
Percentiles give the values corresponding to 
, 
… and 
of the data.
coincides with the median
coincides with 
coincides with 
Calculation of Percentiles
First we look for the class where we found 
in the cumulative frequency table.
Where:
is the lower limit of the class where the percentile is found
is the sum of the absolute frequencies
is the cumulative frequency before the percentile class
is the class width
Percentile Exercise
1 Calculate the 
and 
percentile of the distribution in the table:
First we will create a new column with the cumulative frequency values:
In the first cell we place the first absolute frequency. In the second cell we add the value of the previous cumulative frequency plus the corresponding absolute frequency and so on until the last one, which must equal 
Calculation of the 35th Percentile
We look for the interval where the percentile is found, multiplying 
by 
and dividing by 
We look in the cumulative frequency column 
for the interval that contains 
The class of 
is: 
We will apply the formula for calculating percentiles for grouped data, extracting the following data:
Calculation of the 60th Percentile
We look for the interval where the percentile is found, multiplying 
by and dividing by
We look in the cumulative frequency column for the interval that contains 
The class of 
is: 
We will apply the formula for calculating percentiles for grouped data, extracting the following data:
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