Many studies preformed by the National Institute of Health has shown to improve symptoms of anxiety, depression, insomnia, high blood pressure and more.
In the Harvard Gazette they discuss some of the known benefits of Meditation but the also discuss how a functional magnetic resonance imaging machine which takes pictures of the brain and also records brain activity helps to show the benefits.
In this article written by Mayo Clinic staff, they discuss that Meditation can eliminate stress among other benefits while having a sense of inner peace.
In the Greater Good Magazine by UCL at Berkeley, they discuss in an article the how a mindful Meditation practice is good for the heart, helps to decrease cognitive decline and improves the immune response among other benefits.