[Graphics] Videos Show that public beheading in Saudi Arabia :Why Saudi Arabia is barbaric country??

Sorry but your premise is wrong. Beheading is not why anyone considers Saudi Arabia to be a barbaric country. There are so many reasons to consider Saudi Arabia a barbaric country I hardly know where to start. But I'll give it a shot:

1. They execute women for witchcraft.
2. They execute women and men for adultery.
3. Every single one of the 9-11 terrorists were Saudi nationals.
4. They practice a medieval and violent form of Islam called Wahabism.
5. They expend hundreds of millions of dollars to export their violent form of Islam worldwide.
6. They whip women publicly for the crime of being rape.
7. They are so hateful and xenophobic that if you are not Moslem, you literally cannot set foot in many areas of Saudi Arabia.
8. They are ignorant, and have no world class universities. If they need someone to do coding or mechanical engineering they have to contract those people from outside the country.
9. In 2002 Al-Riyadh, the main newspaper in Saudi Arabia, published an article by a prominent surgeon claiming that Jews use non Jewish blood in Purim pastries: Blood Feast
10. Women in Saudi Arabia can be incarcerated for driving a car.
11. They have religious police that follow all the citizens around and can impose corporal punishment for a man and a woman standing too close to each other for example.
12. Female genital mutilation is common in Saudi Arabia: Prevalence of female genital mutilation by country

There are many more reasons to consider the Saudis barbarians, and I have only touched on the most glaring and obvious points.

Trust me, beheading is the least of the reasons to consider them barbarians.