Before the 1830s, the word normal meant perpendicular. It described a right angle, not a person.
Until the middle of the nineteenth century, normal was a term from geometry. It derived from the Latin norma, a carpenter's square, and normalis, meaning made according to a square, or right-angled.1 The word described lines, not lives.
The shift began with Adolphe Quetelet, a Belgian astronomer and statistician. In 1835, Quetelet published A Treatise on Man and the Development of His Faculties, in which he introduced the concept of l'homme moyen, the average man.2 He gathered measurements of human traits, height, weight, chest circumference, plotted them on what he called the error curve, and argued that the central value represented the ideal.
Quetelet used normal, regular, and average interchangeably.3 In his framework, every deviation from the average was an error, just as an astronomer's measurement might deviate from a planet's true position. The average human was the correct human. The statistical center became the moral center.
Francis Galton, the English statistician who later coined the term eugenics, built on Quetelet's foundation. Galton introduced the phrase normal distribution in the 1870s, formalizing the bell curve as a tool for ranking human populations.4
By the late nineteenth century, the word normal had migrated from geometry into medicine, education, psychology, and public health. Normal schools trained teachers to set norms. Normal body temperature was established. Normal behavior became a diagnostic category.1
The word's power lies in its invisibility. Once average became normal, and normal became ideal, the construction disappeared. Quetelet's statistical fiction became a social fact that billions of people measure themselves against without knowing its origin.
In 1870, Quetelet published essays on childhood deformities in which he juxtaposed children with disabilities against what he called normal proportions, calculated by averaging nondisabled bodies.3 The data he used to define the normal man excluded women, people with disabilities, and non-European populations.