Mine is $1485/yr for a newly renovated but older home in a Denver suburb, home value is approximately $280k. This is after a 25% discount for bundling with auto insurance.
There are a lot of factors that change the cost of homeowner's insurance. For example, you can raise the deductible up as high as possible to get a cheaper monthly rate. This is probably totally fine for any ER focused saver who would be able to easily come up with $5000 in an emergency. Alternately, to reduce costs, you can get your replacement cost for contents set to actual cash value, meaning that if your things are destroyed in a claimable accident or occurrence, the insurance company will give you actual cash value for those objects instead of replacement cost. For example, if your couch burns, and it was 7 years old and would have only sold for $50 at a garage sale, you'll only get $50 for the couch. With replacement cost, you would get new couch payout from your insurance company; with actual cash value, they would pay out the garage sale value. Note that "contents" includes stuff that non-insurance people would normally consider part of the dwelling itself, such as carpet, cabinets, fixtures, appliances, etc.
It's also worth paying attention to what your insurer has as a replacement cost estimator, as that likely matches the amount the dwelling is insured for. For example, my home has an estimated replacement cost of $224,000, but I paid $280,000 for the home, and as such have ~$270,000 of mortgage on the property. My bank demands that the insurance amount cover the cost of the mortgage, even though the home itself wouldn't cost that much to replace. If you don't owe a mortgage still, or if you're well into paying your mortgage down, you can likely adjust the amount covered for the dwelling down to a lesser amount that you're still comfortable with.
Some factors are out of your control, such as local rates. I live in Colorado, and rates go up consistently every time it hails, because everyone gets hail damage and decides to make a roof claim. Likewise, there was just a regional rise in car insurance rates across multiple companies (not just my insurer) due to an influx of residents moving to the Denver area, which makes driving in this area more risky in general.
It's a good idea to meet with your insurance agent and see what adjustments can be made for your specific situation. Insurance agents are almost always going to pressure you to have more coverage, not less. Not just because it means a bigger commission check for them, but also because the average person won't be considering the opportunity cost of paying more for insurance vs. investing that cost difference over time. That being said, if you go in and say you want your insurance coverage to cost $1000 a year or less, they can help you find the compromises necessary to make it so.