Sobriety (noun)

1. The quality or state of being sober; not drunk or addicted to drugs.
2. Seriousness, solemnity or sedateness of demeanor or expression.

Origin:

From latin sobrietas, from sobrius, "not drunk".

Examples:

1. He admired her sobriety and her ability to stay focused on the task at hand.
2. The judge warned the defendant that any violation of the terms of his release would result in a loss of his sobriety.
3. She was well known for her sobriety, her wisdom, and her kindness.
4. The sobriety of the room was only disturbed by the soft ticking of the grandfather clock.
5. The funeral was conducted with the utmost sobriety, in accordance with the wishes of the deceased.