Quartiles in Statistics

Quartiles in statistics, Let’s talk about quartiles and their importance. The quartiles for the corresponding distribution of x are three variate values of the variable, say x, that divide the series (frequency) into four equal halves.

Quartiles in Statistics

There are three quartiles namely Q1, Q2, and Q3.

Q1 is called the lower quartile and Q3, the upper quartile.

25% of the numbers are lower than Q1, 25% are higher than Q3, and the remaining 50% are in the middle between Q1 and Q3.

Q2 is the same as median because it divides the series into two equal sections.

Quartiles are commonly utilized in economics and business because of their importance. They can also be used to figure out the shape of a distribution.

How to calculate quartiles mathematically?

The formula for calculating i^th quartile (i=1,2,3) for a continuous distribution having K classes is,

Where,

Q1= i^th quartile which is to be calculated

L0=Lower limit of the i^th quartile class

N=Total of all frequencies

C=Cumulative frequency of the class just above the quartile class

F=Frequency of the quartile class

I=Class interval

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