you should be documenting init curing like BT is saying. you don't want to be stuck with a "hot potato" when push comes to shove on any project. you should expect a response similar to BT's by the concrete company if this were to happen, even if the field curing is adequate as it very well may be (summertime and shaded).
you didn't tell us if these are 7-day breaks or 28-days. Variance at 7 is not as unusual.
shooting in the dark, i'll throw a few things out that haven't been mentioned
1)is the aggregate for the mix design too big to test 4x8. there is another similar post to find the max agg size. this would make variance between cylinders occur as the cement paste/agg matrix could be less homogenous along the failure planes.
2)is it loaded too fast sometimes? this would be an operator error at the break machine, but would have a "hammer" effect on the cylinder. be tactful looking into this. you obviously have honest staff reporting to you and wouldn't want to inspire any "editing" in the lab.
3)intermediate break, with some of the high-strength stuff. you can get a fracture in a piece of the aggregate. (this makes a loud noise) the load pressure goes down b/c of some displacement of the piston but.. many times the load returns higher as the paste has not fractured. if you switch off the machine after the 1st drop you won't know it. you don't have to ever worry about this if you report the failure type as a,b,c,d (crush it until it's a mess always)
this may be old news already, i've had the browser in the background for a while today.
cheers,
DSG