a boy or girl: a young person still under a parent's care and authority
At its plainest the word names a young person by their age and their place in a household: a child. It reaches from a newborn up through boyhood, and it is not limited to males. Luke uses it just as readily for Jairus's young daughter as the Gospels use it for boys, so a translator has to decide from the context whether to say boy or girl.
Because the word marks someone as young and dependent, it often appears in scenes of rescue or healing: the boy freed from a tormenting spirit, the official's son restored, the young man Eutychus brought back alive. In each the point is the same, a child under the care of others whose life hangs on what a stronger person does.
This is the same word that can also mean servant (see the second meaning). The two ideas sit close together because in the ancient world a servant, like a child, was a dependent in the household under someone else's authority.