median
Word family
Synonym discussion
Sense: noun/1
In statistics, these four terms describe different ways to identify a "typical" value in a data set. The median is the middle number when the values are arranged in order — it resists distortion from extreme outliers. The mean (the arithmetic average) is calculated by adding all values and dividing by the count; it is easily pulled upward or downward by unusually high or low numbers. Average is the everyday term that can informally refer to any measure of central tendency, but in technical writing it usually means the mean. The mode is simply the most frequently occurring value and is useful for categorical data. For example, in the set {2, 3, 3, 5, 100}, the median is 3, the mean is roughly 22.6, and the mode is 3 — showing how the mean gives a very different picture when an outlier is present.
Common collocations
Prepositions
- of (the median of the data set)
Etymology
The word 'median' comes from Latin 'mediānus', meaning 'middle' or 'central', which itself comes from 'medius' ('that is in the middle'). It entered English through Late Latin in the 1500s, first used in general spatial senses. The anatomical meaning — relating to the midline of the body — appeared in the 1600s. The statistical sense emerged in the late 1800s as mathematics developed tools for summarising data sets.