A single test does not give you the big picture. Values can fluctuate wildly depending on the weather (pressure changes the amount of gas pushed up from the soil). What you want is the *average* level at 4.0 pCi/L and below. At 4.0 pCi/L, it's not super large, really. And 4.1 pCi/L is really close to 4.0, so I wouldn't sweat it. What you can do is during the warmer months, keep a window (or several) open. Venting is the solution. It's what the "remediation" efforts do anyway. I'd also get a bunch more readings. You can get some cheap canister tests at a hardware store, or perhaps order them online. These record the average level by their very nature. Get a bunch of these average levels measured to get a better picture than just the single result you have now.Â
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FWIW, the "ideal" is to have the level equal to the outdoor level, which runs around 1.4 to 2.0 pCi/L. Ideal is not usually achieved, even with remediation. Anything under 4 is considered good. Like I said, 4.1 isn't that bad either.
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I have an electronic radon monitor that takes readings periodically. This gives the instantaneous reading at each interval. It's very interesting to see how the weather can wildly vary the instantaneous readings, so you could even get a reasonably varying average result.  If you get a bunch of canister test readings (done at different times) similar to 4.1 then you can be pretty confident that's your typical house level. And it's not too bad, especially if you ventilate whenever you can. If it were, say 10 pCi/L, then I'd worry.
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The other issue is how the test is performed is very critical. While the test is running, try NOT to ventilate the house, including bath fans, as much as possible to get a "worst case". Where the tester is placed is important. It must be in the lowest occupied (not unfinished basement) level of the house, but not too close to a wall, window or door. You're also not supposed to run a test during a storm or other extreme weather. You should see the wildly fluctuating results from that. These reasons are why it's good to get more than just one test, to double check. The canister tests are pretty cheap.
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I'm not sure the dirt floor vs. concrete floor makes much difference. There are minute openings and joints in the concrete that the radon gets through.  It depends more on the amount of radon in the rocks/soil under your particular house. Could be vastly different for your house vs. your next-door neighbor's house. Although, there are general trends for particular locations.
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For more info., check the epa.gov website on radon.