How much is the average amount for a neck injury claim is an amount that varies by the nature and extent of the injury. The answer to how much an injury accident victim can recover in settlement depends on many factors. These include the amount of medical bills and lost wages. the severity of the injury, the activites that were affected, the pain that was endured and the length of injury and whether it is permanent. As a general rule the more severe the neck injury the higher the compensation.