About Quartile Formula
The quartile formula is used to determine the value that splits a set of numbers into quarters. The information is organised in ascending order before being separated into quartiles. The median splits a set of data into two equal portions, whereas the quartiles divide it into four. We may calculate the first, second, and third quartiles using the quartile formula.
What Is Quartile Formula?
A set of observations can be divided into four equal halves using the quartile formula. The first quartile is located between the median and the first term. The second quartile is the median. The third quartile is the figure that lies halfway between the median and the last term. They are expressed mathematically as follows:
The quartiles are represented as, when the observations are ordered in ascending order.
- First Quartile(Q1) = ((n + 1)/4)thTerm
- Second Quartile(Q2) = ((n + 1)/2)thTerm
- Third Quartile(Q3) = (3(n + 1)/4)thTerm
The lower quartile is often referred to as the first quartile. The median divides data into two equal portions, and the second quartile is the same as the median. The upper quartile is sometimes known as the third quartile.
The interquartile range is calculated as Upper Quartile Lower Quartile.
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