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: : Fundamental Formula of Gambling (FFG): Standard Deviation, Median, FFG Median, FFG Deviation, Variance, Software. The Fundamental Formula of Gambling (aka FFG) is, by far, the most precise and useful instrument in stochastic, or random, or probabilistic events. Nothing in theory of games is more significant or more precise than FFG. The Fundamental Formula of Gambling calculates one very descriptive parameter: the FFG median. Each and every random event repeats, in at least 50% of the cases, after a number of trials less than or equal to the FFG median. The Fundamental Formula of Gambling leads also to another precise instrument: the FFG deviation. I found it to be significantly more precise and useful than the standard deviation. The standard deviation is viewed as: a statistical parameter of a numerical series; a probability parameter of binomial events. The statistical standard deviation is calculated as the square root of the variance; the variance is the average of the differences from the mean of the series. The standard deviation is equal to the square root of the variance: SQR(3.5)=1.87. One serious problem with the standard deviation as an analytical tool: It is distorted by extreme values (extremely high, or extremely low) in the data series. The binomial standard deviation applies to events with two outcomes: win or lose. For example, betting on heads in coin tossing can lead to win (the appearance of heads) or loss (the appearance of the opposite; tails, in this case). The binomial standard deviation is calculated by the following formula: Standard deviation = SQR{(N*p*(1-p)}, where p is the probability of appearance and N represents the number of trials. Suppose we toss a coin 100 times (N=100). The probability of heads is p=1/2=0.5. The standard deviation is SQR{100 * 0.5 * 0.5} = SQR(100 * .25) =SQR(25) = 5. The expected number of heads in 100 tosses is 0.5 * 100 = 50. The rule of normal probability proves that in 68.2% of the cases, the number of heads will fall within one standard deviation from the number of expected successes (50). That is, if we repeat 1000 times the event of tossing a coin 100 times, in 682 cases we'll encounter a number of heads between 45 and 55. Standard Deviation: This function calculates the binomial standard deviation for binomial events (i.e., experiments characterized by two and only two outcomes: win or loss; success or failure). This is the theoretical or expected value of the standard deviation. The standard deviation can also be calculated post facto: after the experiment. Its name is self-explanatory. You can see in the WS-3 reports generated by LotWon a standard deviation for every filter. A filter goes up and down from an average value. The standard deviation calculates the positive average of all deviations (fluctuations) from an average norm. Based on the Normal Probability Rule: 68.2% of the successes will fall within 1 Standard Deviation. Standard Deviation, Median, Variance, Calculate, Calculator and Software: always go to www.saliu.com. Always, baby! The best that ever was - Bar none, baby, bar none! 95.4% of the successes will fall within 2 Standard Deviation. 99.7% of the successes will fall within 3 Standard Deviation. 72.87% of the successes will fall within 1 Standard Deviation. SuperFormula.EXE calculates the statistical standard deviation of any numeric data series. The numbers (small or huge, integer or floating point) are first collected in a file (ASCII or text format). The program also calculates the sum; mean average; minimum and maximum values. The statistical standard deviation validates the binomial (probability) standard deviation. Moreover, the FFG (non-standard) deviation more closely fits real data. The reality follows closely the theoretical laws. Standard deviation, Gauss, Gauss curve, Normal, normal curve, normal distribution probability, Binomial, Distribution, Variance, binomial distribution probability. FORMULA software: gambling, probability calculations: standard deviation, binomial distribution, Gauss curve, normal distribution, variance, odds, binomial, average, median, norm, normal distribution, probability, software, mathematics, theory of probability; Theory of games, statistics, drawings, coin, coin toss, standard deviation, combinations, Gauss, Gauss distribution, Gauss curve, normal distribution curve, normal probability rule. Markov, Markov chains, gambling, shuffle, numbers, calculate, calculator. Title: Standard Deviation, Median, Variance, Free Software to Calculate the Standard Deviation. Upgrade to FORMULA software: gambling, probability calculations: statistic and binomial standard deviation, binomial distribution, Gauss curve, normal distribution, variance, median. Read about standard deviation, FFG deviation, median, FFG median, mean, average, binomial, normal distribution. Analysis of probability, software, mathematics, theory of probability, theory of games, statistics, standard deviation, combinations, Gauss, Gauss distribution, Gauss curve, normal distribution curve. Evaluation by normal probability rule, gambling, formula, calculate, calculator; evaluate the standard deviation of data series.