Standard Deviation, How is it calculated?

[DSchles]

All the bets should be expressed in units. The result will be s.d. in units. If you express in dollars, the result, as in all the Chapter 10 charts, will be in dollars. But you still wouldn't be dividing by an average bet size.

Don

[Three]

But you still wouldn't be dividing by an average bet size.

You do divide by average bet to express everything in average bet units. The difference is the way you are telling the OP to do it he does that division many times. If you use the units you want to end up with, in this case average bet, you can either recalculate all your data to be expressed in average bets, or you can divide the existing data's SD expressed in dollars by average bet to get the SD expressed in average bet. To me, using a hand calculator, it is easier to divide by average bet once at the end rather than every data point by average bet to express it in average bet units before using it in the formula and then use it in the formula. But if I am writing a program to do it there is little difference in the work required for either method of getting the answer expressed in particular units. Obviously the OP is using a hand calculator, so I advised what is best for him.

[MercySakesAlive]

I find a lot of MY confusion comes about because the math can be done using terms that can be in three different forms: percentages, units, or dollars. A lot of head scratching could have been avoided if I had double checked that all of my terms are in the same form.

[Three]

I find a lot of MY confusion comes about because the math can be done using terms that can be in three different forms: percentages, units, or dollars. A lot of head scratching could have been avoided if I had double checked that all of my terms are in the same form.

Exactly.

[Three]

As Don said you must set your input data to your desired unit and less operations are required. Or you can convert the answer to the desired unit which would probably have more potential to be confusing.

[MercySakesAlive]

I ran some CVData sims looking at a single card in a six deck game one card at a time. Then I ran a normal CVCX sim looking at the regular cumulative data that we're all used to.

Why is the cumulative standard deviation so much higher than a single card standard deviation?

Cards 260-263 screenshot for CV Version2.jpg

Here's the sims of the single CARD 262 and then the regular old sim that spans 1-262.

card 262 and 260-262.jpg

Hopefully the resolution is acceptable. I'll repost the screenshots separately if not.

[DSchles]

You really don't understand this at all, do you? On the left, all the bets are a single unit. On the right, the bets spread from 1-30. And you're surprised that the s.d. is greater? Can you not think a little bit about this before you post?

Don

[MercySakesAlive]

Got it thanks. I appreciate your help.

[ferenc11]

The picture on the left is definitely a losing game...

[Three]

To Don and Ferenc11. Both screen shots of the RC breakdown are truncated. The left one just shows the negative EV TCs but does show the first advantage bet before things get cut off. That bet is 20 units with what looks like a 30 unit bet cut in half in the second advantage bin. To Ferenc11, the EV of that game on the left is $148/hour and a SCORE of 77.77, which is not negative EV.

[ferenc11]

Yes but the CE/WR ratio is minus 0.29 on the left. It has to be 0.5 right? Also the CE is 43.54 in brackets which means that he is giving money to the casino basically...Or am is mistaken?

[Three]

Also the CE is 43.54 in bracketts which means that he is giving money to the casino basically...Or am is mistaken?

It means he is overheating his BR and will almost certainly go broke.

[ferenc11]

His ROR is very high too.