1. A medical image processing apparatus comprising: an acquisition unit which acquires an anatomical malignant grade of an abnormality candidate region that is possibly an anatomical abnormality included in an image showing the inside of a subject based on a candidate region characteristic amount indicative of characteristics concerning the abnormality candidate region and a peripheral region characteristic amount indicative of characteristics concerning a peripheral region continuous with the abnormality candidate region in the image; a determination unit which determines an examination policy or a treatment policy with respect to the abnormality candidate based on the malignancy grade; and a presentation unit which presents the examination policy or the treatment policy determined by the determination unit to a user.