JRE is just your regular Java Runtime Environment. In other words your Java 7 Update 25. The thing here is that you may have build # 16 and the correct build is # 17. Like this 1.7.0_25-b17

Now if you want to uninstall Java because there is no need for it in your sys ( No program uses it ), go ahead. If you want Avast! to detect the right Java version, you need to install the latest.

http://www.oracle.com/technetwork/java/javase/downloads/java-se-jre-7-download-432155.html

Choose Windows x86 or x64 depending on your system.