You are just redefining the term "average". Average, in its common meaning, means that half are below and half are above.
When one talks about IQ one normally talks about range average not point average. This is a discussion of functionality.
Man, I hate posting on these Charles Murray threads as I am so easily out-gunned. But in this case, I have to say it, your definition describes the mean, not the average. You can work it out for yourself and I suggest you do, the difference is quite important.