This is the 1484th most frequent Russian word.
народной
"Narodnoy" means "folk" or "popular," often referring to something associated with the people or common tradition.
Here, 'народной' ('people's') describes the type of culture associated with the community or the population.
Школа находится рядом с домом народной культуры.
The school is located near the house of people's culture.
In this sentence, 'народной' ('people's') qualifies 'collection', indicating that the collection is related to or owned by the people.
Экспонаты народной коллекции были представлены на выставке.
The exhibits of the people's collection were presented at the exhibition.
Here, 'народной' ('people's') modifies 'music', showing that the traditions discussed are related to folk music and the community's legacy.