What is mixed content?
HTTP is a system for transmitting information from a web server to your browser. HTTP is not secure, so when you visit a page served over HTTP, your connection is open for eavesdropping and man-in-the-middle attacks. Most websites are served over HTTP because they don't involve passing sensitive information back and forth and do not need to be secured.
When you visit a page fully transmitted over HTTPS, like your bank, you'll see a green padlock icon in the address bar (see How do I tell if my connection to a website is secure? for details). This means that your connection is authenticated and encrypted, hence safeguarded from eavesdroppers and man-in-the-middle attacks.
However, if the HTTPS page you visit includes HTTP content, the HTTP portion can be read or modified by attackers, even though the main page is served over HTTPS. When an HTTPS page has HTTP content, we call that content “mixed”. The page you are visiting is only partially encrypted and even though it appears to be secure, it isn't.
What are the risks of mixed content?
An attacker can replace the HTTP content on the page you're visiting in order to steal your credentials, take over your account, acquire sensitive data about you, or attempt to install malware on your computer.