the word 'statistically' is built upon the modern adjective 'statistical', which itself originates from the 18th-century german term statistik, meaning the science of state affairs. this german word was derived from the new latin statisticus, tracing back to the italian statista (a statesman) and ultimately to the latin status (condition, position, state). the core semantic journey is from the collection and analysis of data about the state to the general mathematical science of collecting and analyzing numerical data. the suffix '-ally' is a productive english adverbial suffix from latin via french, routinely attached to adjectives ending in '-ic' or '-ical'. thus, 'statistically' literally means 'in a manner pertaining to the science of state data', which evolved into its modern abstract meaning of 'in a way based on numerical analysis and probability'.

Structure: statistic (pertaining to data) + ally (adverb suffix) - statistic: from modern latin statisticus, from italian statista (statesman, politician), from stato (state). the root relates to data concerning the state. its functional role is the core adjective/noun. - ally: from latin -alis (adjectival suffix) via old french, adapted in english to form adverbs from adjectives (e.g., basically, finally). its functional role is to convert the adjective 'statistical' into an adverb.