This is the 3277th most frequent Russian word.
основанного
"Founded" or "based on."
The word 'основанного' here is the passive participle 'основан', implying that the movie is 'based' on true events.
Этот фильм основан на реальных событиях.
This movie is based on real events.
In this sentence, 'основанного' is used as an attribute describing 'пример'—an 'example' that is 'based on'.
Он привёл пример, основанный на научных исследованиях.
He provided an example based on scientific research.
The term 'основанного' appears here as part of the phrase 'основанная на данных' and describes 'стратегия'—a 'strategy' that is 'based on' data.