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prevalence (n.)

1590s, "fact of having mastery," from French prévalence (15c.), from Medieval Latin praevalentia "superior force," from Latin praevalens, present participle of praevalere "to be more able," from prae "before" (see pre-) + valere "have power, be strong" (from PIE root *wal- "to be strong"). Meaning "condition of being widespread or general" is from 1713. Shakespeare has prevailment.

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Definitions of prevalence from WordNet

prevalence (n.)
the quality of prevailing generally; being widespread;
he was surprised by the prevalence of optimism about the future
prevalence (n.)
(epidemiology) the ratio (for a given time period) of the number of occurrences of a disease or event to the number of units at risk in the population;
prevalence (n.)
a superiority in numbers or amount;
Synonyms: preponderance
From wordnet.princeton.edu