"frequently chosen" is correct and usable in written English.
You can use it when you want to emphasize that something has been selected or chosen more often than something else. For example, "The most frequently chosen option was to go with the blue paint color."
Different settings and time periods are frequently chosen for contemporary performances of this opera.
* The least frequently chosen set of options were those that cut pay or benefits for members of the military.
Pharmaceutical companies have frequently chosen to put their resources into developing drugs with bigger payoffs than antibiotics.
Mr. Reich is one of the established composers most frequently chosen by modern-dance and ballet choreographers today, along with Philip Glass and John Adams.
But, even with the broader powers, the government has frequently chosen not to issue blocking orders on some organizations with apparent ties to terrorism.
Fortunately, playground rules usually dictated that teams were frequently chosen through foul-shooting competitions, where she faced less of a physical disadvantage.
Despite the fixation on song speed, though, listeners in 2015 have frequently chosen to sit back and enjoy some of the slowest hits on the airwaves.
One reason that the works tend to stylistic similarity is that the company's artistic director, Judith Jamison, has frequently chosen former or current Ailey dancers as choreographers.
The radial and femoral arteries are frequently chosen for cannulation.
Short working agents are most frequently chosen for analgo-sedation.
Metamodels or response surface models are frequently chosen to reduce computational cost for structural optimization problems.
