Paul Wellings, vice-chancellor of Lancaster University,
claims that his university "is now in the top quartile of
UK institutions" (Letters,
No university is that, since a quartile is not a segment of a distribution but a boundary.
There are three quartiles: One quarter of a rank- ordered group is below the lower quartile and one quarter is above the upper quartile.
The middle quartile splits the distribution in two and is called the median.
Professor of statistics