Yes, there are a ton of variables which makes every CFI job different.

On average, with the busier flight schools in the country, a busy CFI would log around 100 hours per month. This is just a ballpark figure. But that's assuming good flying weather every day of the year. Usually that is not the case unless you are in certain areas of the country. That's best case scenario.

Realistically in most climates, CFI's log more when it's summertime and little to none when it's wintertime. You can't really ask the question "how many hours per week". A more reasonably fair question would be "how many hours per year", cuz it fluctuates by the week, and even by the month.

Most CFI's, if they want to work hard, log around 1000 hours per year on average. To get the weekly average, do the math. A highly motivated CFI who wants to work hard can log more. I've heard of CFI's logging up to 1500 hours per year (that's just flight time, not counting ground school hours.

The lazy CFI's (and yes they are out there) log much less.