utah_utes questioned the values in my standard deviation calc for the JOB results and utah was correct. I put the bet size inside the square root and it belongs outside. My SD values are all too high by sqrt(5).
So, the lowest value I hit in 100 runs of 4000 hands was -1.25 sigma and the highest non royal value was 0.72 sigma. With the royals included, the highest value is 3.55 sigma.
The results are more closely clustered than originally thought. For this run, if I didn't hit a royal, I was -1.25 to 3.55 sigma, a pretty close bunching.