What is the term that describes a division of the total into four intervals, each representing one-fourth of the total?

The term that describes a division of the total into four intervals, each representing one-fourth of the total, is quartile. Quartiles are used in statistics to provide a way to analyze the distribution of data by splitting it into four equally sized segments. Each quartile corresponds to a specific percentile of the data set: the first quartile marks the 25th percentile, the second quartile indicates the median or 50th percentile, and the third quartile represents the 75th percentile. This division helps understand the spread and characteristics of the data, making it easier to identify trends and outliers in a data set.

The other options refer to different types of data divisions. Quintiles divide data into five equal parts, the median is the middle value of a dataset, and deciles split the data into ten equal parts. Each of these serves a unique purpose in data analysis, but in the context of dividing a total into four intervals, quartile is the correct term.