The phrase "agreed description" is correct and usable in written English.
It can be used when referring to a description that has been accepted or acknowledged by all parties involved in a discussion or agreement.
Example: "After much deliberation, we finally reached an agreed description of the project requirements."
Alternatives: "mutually accepted description" or "consensus description".
A Delphi process has been used to agree descriptions of key aspects of the treatment program, and data collected on patient characteristics.
If you are being asked to take on two different roles, you should check your contract of employment to see whether this is against your agreed job description.
The European Commission funded the wider BE LOGIC project, negotiated and agreed a Description of Work for the whole of the project, of which this research is part, approved the general scope of the study design and had no role in the collection, analysis, and interpretation of data, in the writing of the report, nor in the decision to submit the paper for publication.
For psychiatric syndromes, the reference-standard definition is necessarily a set of clinically agreed on descriptions of psychopathology rather than any objective measures.
James's stories would be accompanied by Edwyn's convulsive laugh, a bizarre noise that those who have heard it in the flesh will agree defies description.
Scientists have come to some agreement on descriptions of events that happened 10−35 seconds after the Big Bang, but generally agree that descriptions about what happened before one Planck time (5 × 10−44 seconds) after the Big Bang are likely to remain pure speculation.
That was a description agreed by all concerned".
The article's editor, Hilary Stout, agreed that the description was faulty.
Booty agreed with that description, though he declined to elaborate on it.
Sitting at the Back Room, his boards filling up, Johnson agreed with that description.
