Ezekiel 5

“And you, son of man, take a sharp sword, take it as a barber’s razor, and pass it over your head and your beard; then take scales to weigh and divide the hair." v.1

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So we have another symbolic sign of what Ezekiel is to do as a prophesy to the Israelites.  He's to shave his head and beard and divide up the hair into three sections.  Shaving of the head was usually a sign of mourning.  With Ezekiel being a priest by the law priest were forbidden to shave their head or beard (Lev. 21:5), so this wasn't just a guy who happened to shave and play with his hair but an obvious sign of judgement.  What he does with each section is what will be done to Israel.  One third of the people will die of pestilence being consumed by famine (v.12), one third will die by the sword as they escape the siege and one third will be scattered through other nations yet pursued by the sword.  There is to be a small number that is to be hidden or kept safe (v.3).  This shows that not one can hide from God's wrath and judgement. 

In many ways, this action of Ezekiel "the priest" is significant of calamity and ruin. The sword indicates the avenging power; the shaving of the head the removal of grace and glory; the scales and weights the determination of divine justice. (Barnes' Notes on the Bible)