According to stagedhomes.com, 95% of professionally staged homes sell faster than non staged and within 11 days or less. Also, usually for 17% more than non staged homes.
Basically, staged homes look better in pictures than non-staged homes. When they present better in pictures, it prompts more buyers to add the home to their "must see" list. When you have an increase in buyers walking through your front door, you have an increase in odds of selling.
When you have multiple buyers falling in love with a property, the offers start to come in quicker. It's all about increasing traffic through your home. And a staged home accomplishes that.