Matthew Poole and continuators on Exodus 24:8

8 And Moses took the bloud , and sprinkled it on the people , and said, Behold , the bloud of the covenant , which the LORD hath made with you, concerning all these words.

The other half of the blood, which was put in the basons for this end, ver. 6.

Either upon the 12 pillars representing the people: or upon the peoples representatives, to wit, the Elders mentioned ver. 1. as when the people are commanded to lay on their hands, the Elders do it in their name and stead, Lev. 4. 15. Deut. 21. 2. or upon those of the people which were nearest him, which was imputed to all the rest, and was to be taken by them as if it had reached unto them all. Now this sprinkling of the bloud upon the people did signify, 1. their ratification of the covenant on their parts, and their secret wishing of the effusion of their own blood if they did not keep it. 2. the sprinkling of their consciences with the blood of Christ, and their obtaining redemption, justification, and access to God through it alone. See Heb. 9. 20, 22. and 13. 20.

Whereby the covenant is made and confirmed, as was usual both in Scripture, Mat. 26. 28. Luk. 22. 20. and among heathens.

Marginal references: 1 Pet. 1. 2.