Blockchain is like a decentralization mechanism, before now, our way of life has been centralized, meaning, only a few individuals determine the outcome of each niche, in this case, you as an individual don't have access to your data and some medical information, which you ought to have and determine who has access to it or not, this is just the periphery as i can go on and on but with the decentralized process, that way of life will be stopped
There are many value to it for medical. from the top of my head you are sufficing security and availability of records and also portability of data. Imagine moving your records around. Or Imagine a system failure where you can't access your information. blockchain is a cost effective solution that suffices all those attributes.