Statistics for Data Analyst: Percentile and Quartile

Before defining percentile and quartile , we should know why it is used for data analyst in stats; To remove outliers that can be helpful in analyzing data effectively.
Outliers –
· These are values in dataset which is completely differ and vary from others
· They are either larger values or significantly very small in dataset .
· They may affect analysis of data.
Lets take a example-
Dataset — {1,3,4,5,6,8,8,9,100}
Here 100 is outlier .
Percentile-
Percentile is a value below which a certain percentage of observation lie.
Lets understand it with the help of example in the given below dataset-
Dataset — {2,2,4,8,10}
- What is the percentile ranking of 10?

Here x is 4, n= 5
Therefore, Percentile rank of 10 = 4/5*100=80%
Means 80% of entire distribution is less than 10.
2. What value exist at percentile ranking of 25%?

= 25/100 *(5+1)
=1.5
Now here 1.5 is the index position in the given dataset.

As 1.5 will lie between 2 and 2, here we need to take average of it
And value will be 2
Quartiles-
· Values that divide the data into quarter.
· Used for finding interquartile range (IQR)

IQR is similar to range(max- min), whereas
IQR = Third Quartile-First Quartile
And yes IQR helps in removing outlier and to know how , you have to wait while for my next post which will be soon posted .Till then keep learning and keep growing.