Hi all,

I search for software to generater and filter combinations by standard deviation in the lottery keno.

Some body help?

Thanks

checkout the new beta version 4.1 of expert lotto.
the standard deviation is part of the latest beta build which is not available to public yet.
but you can contact us via our website and we'll send you a copy for beta testing if you're interested.

Hi ExpertLotto,

I am Not Really Familiar with the Standard Deviation Function.
What is the Standard Deviation Formula ( and How does it Work ) that you Use to Filter Combinations in a 649 Lotto.
Are there Any Other Lotto Related Items that Standard Deviation could be Used for, and would these Results Produce Meaningful Statistics that could be Used for Further Filtering.

Thanks in Advance.
All the Best.
PAB

PAB

The standard deviation is a measure of the dispersion of data. Since it requires all data when calculating it, it is more representative than the difference betwwen maximum and minimum values (only two values used).

In a normal distribution (bell-shaped), you expect the following amount of data values in the following ranges:

- AVG +/- 1xSTD: 68.25% of the data

- AVG +/- 2xSTD: 95.46% of the data

- AVG +/- 3xSTD: 99.73% of the data

where AVG is the average and STD the standard deviation.

After 2219 draws of Lotto 6/49, the average for the sum of all 6 winning numbers is 152.1 and the standard deviation is 32.2. So you would expect 95.46% of the sums to be between 87.6 and 216.6; actually it is 95.99% or 2130 out of 2219.

In Excel, the standard deviation function is STDEV(list) and the help files will give you the actual formula to calculate it.

hi pab,

the standard deviation filter in expert lotto applies to the numbers of each individual ticket (standard deviation from the average value of the ticket numbers). the filter then allows to set minimum and maximum value of the standard deviation.
tickets like 1,2,3,4,5,6 or 43,44,45,46,47,49 have the lowest stdddev value, tickets like 1,2,3,47,48,49 have the highest stddev value.

the application also offers a table and a chart of standard deviations for the past winning numbers.

The most common sum for all possible draws in a 6/49 lottery will be 150, with 165,772 combinations out of the 13,983,816 total combinations possible.

With all possible draws, the number of draws adding to between 87 and 217 is 13,366,522, or a 95.585654% possibility.

The distribution of the standard deviations for all combinations shows an excellent normal distribution (bell-shaped) with ranges from 1.87 (for 6 consecutive numbers) to 25.21 (for 1-2-3-47-48-49).

And up to now, the Lotto 6/49 follows the same distribution. Here is a table giving the range for the standard deviations, then the percentages obtained for all combinations and for the 2,220 winning numbers.

01 - 02: 00.00% for all combinations vs actual :00.00%
02 - 03: 00.01% for all combinations vs actual :00.00%
03 - 04: 00.07% for all combinations vs actual :00.09%
04 - 05: 00.22% for all combinations vs actual :00.14%
05 - 06: 00.56% for all combinations vs actual :00.72%
06 - 07: 01.11% for all combinations vs actual :00.99%
07 - 08: 01.97% for all combinations vs actual :01.89%
08 - 09: 03.13% for all combinations vs actual :02.52%
09 - 10: 04.64% for all combinations vs actual :04.91%
10 - 11: 06.35% for all combinations vs actual :06.26%
11 - 12: 08.27% for all combinations vs actual :08.02%
12 - 13: 10.06% for all combinations vs actual :10.27%
13 - 14: 11.64% for all combinations vs actual :11.22%
14 - 15: 12.49% for all combinations vs actual :12.88%
15 - 16: 12.29% for all combinations vs actual :12.34%
16 - 17: 10.53% for all combinations vs actual :10.09%
17 - 18: 07.72% for all combinations vs actual :07.57%
18 - 19: 04.78% for all combinations vs actual :05.14%
19 - 20: 02.57% for all combinations vs actual :03.42%
20 - 21: 01.12% for all combinations vs actual :01.08%
21 - 22: 00.37% for all combinations vs actual :00.41%
22 - 23: 00.08% for all combinations vs actual :00.00%
23 - 24: 00.01% for all combinations vs actual :00.05%
24 - 25: 00.00% for all combinations vs actual :00.00%
25 - 26: 00.00% for all combinations vs actual :00.00%

The difference between theorical and actual values very small in all cases with a maximum of 0.85%.

And if we consider only combinations with a sum of 150, we also have a very good normal distribution. The range 15-16 for the standard deviation has the most combinations (22,331 altogether) or 13.47% of the 165,772 combinations with a sum of 150.