Statistics (Quartiles) Marc Joseph F. Alde MAT-SS/Discussant
Quartiles What Is a Quartile? Understanding Quartiles
What Is a Quartile? A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations. Quartiles are organized into lower quartiles, median quartiles, and upper quartiles. Along with the minimum and maximum values of the data set, the quartiles divide a set of observations into four sections, each representing 25% of the observations.
Understanding Quartiles To understand the quartile, it is important to understand the median as a measure of central tendency . The median in statistics is the middle value of a set of numbers. It is the point at which exactly half of the data lies below and above the central value.
Understanding Quartiles First quartile: The set of data points between the minimum value and the first quartile. Second quartile: The set of data points between the lower quartile and the median. Third quartile: The set of data between the median and the upper quartile. Fourth quartile: The set of data points between the upper quartile and the maximum value of the data set.
Calculating Quartiles Manually (Ungrouped Data) Quartile manual calculation requires more effort as there are formulas involved.