A figure for nose surgery means more once you know whether it is about looks, breathing, or both. This page separates the breathing reasons from the cosmetic ones so a price can be read against the right goal.
Breathing as a reason for surgery
The American Society of Plastic Surgeons says rhinoplasty can also correct impaired breathing caused by structural defects in the nose.
For a neutral reference on the operation, the MedlinePlus Medical Encyclopedia entry on rhinoplasty is a good place to read the basic terms.
What the septum has to do with it
The American Society of Plastic Surgeons also states that correction of a deviated septum, one of the most common causes of breathing impairment, is achieved by adjusting the nasal structure to produce better alignment. Healthdirect Australia adds that the surgery may involve a method called septoplasty, a procedure to open up nasal passages that are blocked by a bent septum.
The society's rhinoplasty procedure steps show where such work sits within the operation.
Why the goal changes how you read a quote
Ask whether a quote covers appearance, breathing, or both, and ask for each to be named. The Wikipedia article on rhinoplasty is a general reference for the terms you may see on an estimate.
What to confirm in writing
A written quote should state the goal it prices and whether the figure is a ballpark range or a firm quote. The healthdirect page on rhinoplasty is a second public reference for the vocabulary in that document.