Can beauty be quantified or is it arbitrary by nature to the group or society you are in?

Can beauty every truly be quantified or is it arbitrary to the group, nation, society one is in? I have heard of the term ”Scientifically Beautiful” where your features measure out in some magic balance and that symmetry is suppose to equal beauty. In the real world beauty is said to be like woman A, woman B, and woman C. But are they really? Are they considered beauties because it was declared by an official Web site, tabloids, media giants, etc? Take away the make up and the professionally styled hair would they not be ordinary? And what makes them more beautiful than say woman X, woman Y, woman Z ? Tags given to the last group included ordinary, homely, plain, etc? If woman “Z” was in a community of 50 people but only 12 out of the 50 thought she was beautiful but 38 of the 50 thought woman “C” was beautiful is that official enough to make “C” more beautiful than “Z”? Is beauty basically a collective voice or standard? If so, what if woman “Z” moves to a different community of 75 people and 63 of the 75 thought she was beautiful, would she had become more beautiful or what?