Numbers 6:11

11 and the priest hath prepared one for a sin-offering, and one for a burnt-offering, and hath made atonement for him, because of that which he hath sinned by the body, and he hath hallowed his head on that day;

Numbers 6:11 Meaning and Commentary

Numbers 6:11

And the priest shall offer the one for a sin offering, and
the other for a burnt offering
That is, one of the turtles or young pigeons for the one kind of sacrifice, and one for the other sort; both being necessary; the one to expiate sin, and the other as a gift to God by way of thankfulness for acceptance of the former:

and make an atonement for him, for that he sinned by the dead;
by being where the dead body was, which, though not sinful, in a moral sense, was, in a ceremonial one, and therefore required a sacrifice to atone for it; and which atonement was made by the sin offering typical of Christ, who was made an offering for sin:

and shall hallow his head the same day;
consecrate himself to God afresh, particularly the hair of his head, let that grow again and begin his Nazariteship anew; so Jarchi interprets it, to return and begin the account of his Nazariteship.

Numbers 6:11 In-Context

9 `And when the dead dieth beside him in an instant, suddenly, and he hath defiled the head of his separation, then he hath shaved his head in the day of his cleansing; on the seventh day he doth shave it,
10 and on the eighth day he bringeth in two turtle-doves or two young pigeons unto the priest, unto the opening of the tent of meeting,
11 and the priest hath prepared one for a sin-offering, and one for a burnt-offering, and hath made atonement for him, because of that which he hath sinned by the body, and he hath hallowed his head on that day;
12 and he hath separated to Jehovah the days of his separation, and he hath brought in a lamb, a son of a year, for a guilt-offering, and the former days are fallen, for his separation hath been defiled.
13 `And this [is] the law of the Nazarite; in the day of the fulness of the days of his separation doth [one] bring him in unto the opening of the tent of meeting,
Young's Literal Translation is in the public domain.