What Quartile is
Quartile is a type of statistical measure that divides a data set into four equal parts. It is used to divide a set of values into four equal parts, where each part represents a quarter of the data set.
The steps for calculating quartiles are as follows:
-
Organize the data set from least to greatest.
-
Calculate the median (middle value) of the data set.
-
Divide the data set into two halves.
-
Calculate the median of each half.
-
The first quartile (Q1) is the median of the lower half of the data set.
-
The third quartile (Q3) is the median of the upper half of the data set.
-
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).
Examples
-
To understand how the distribution of a set of data is spread out, quartiles can be used to measure the middle 50% of the data points.
-
Quartiles can be used to identify outliers in a data set by measuring the distance from the nearest quartile.
-
Quartiles can be used to compare the distributions of two or more data sets by comparing the quartiles of each data set.
-
Quartiles can be used to measure the variability of a data set by calculating the difference between the first and third quartiles.