Since the MW3 beta was free to download, this method only works with it.
There is a way to resolve the Can’t install. Data is corrupted. error prompt on your console by downloading the Call of Duty Modern Warfare 3 (MW3) beta from a different account (since the beta application is free to download).
It was not possible to install the Call of Duty Modern Warfare 3 beta when we encountered the error message Can’t install. We were unable to install the beta because of corrupted data. Even after numerous attempts to redownload and clear storage space, we were able to install the beta application using another account on our console.