Massachusetts Lottery The Numbers Game game sum statistics - frequencies, hot and cold sums, late and very late sums.

# Massachusetts Lottery The Numbers Game Sum of Digits - Frequency and Last Appearance

 The Massachusetts Lottery The Numbers Game sums analysis involves two sets of data. The first is the number of times a sums is drawn for the entire history of the game while the second set is how many draws have elapsed since a The Numbers Game sums's last appearance. Whether sums are included as a play type of the state's game or not, these analyses coupled with others, such as digits and pairs analyses, will hopefully help you select the numbers to play. The Numbers Game sum analysis is more complex than digits or pairs analysis since "Not all sums are created equal". Sum of 18 is the most likely to be drawn since it covers 670 numbers (see table below). On the other hand, 0 and 36 are the least likely since each covers only one number, 0000 and 9999, respectively. Therefore, for every 10000 draws, while sums of 18 can fall 670 times, sums of 0 and 36 are expected only once. A general description of 4-digit sums together with the sum values and the list of numbers having that sum can be found at 4-digit sums of this web site.

The sum analysis for Massachusetts The Numbers Game was performed on Saturday, May 18, 2013 with 4975 as the latest number. The sum of the digits of this number is 25.
The analyses results are summarized in the table below.

 Sum How many Numbers have this Sum Frequency Last Appearance Actual Expected Factor Actual Expected 0 1 0 1 0.99 - 10000 1 4 4 6 0.98 164 2500 2 10 16 15 1.01 703 1000 3 20 26 29 0.97 699 500 4 35 37 51 0.86 754 286 5 56 77 82 0.95 938 179 6 84 128 123 1.05 49 119 7 120 185 176 1.09 228 83 8 165 228 241 0.87 3 61 9 220 336 322 1.14 34 45 10 282 408 413 0.95 97 35 11 348 522 509 1.13 44 29 12 415 558 607 0.51 6 24 13 480 688 703 0.85 5 21 14 540 820 790 1.3 11 19 15 592 863 866 0.97 19 17 16 633 913 926 0.87 78 16 17 660 1018 966 1.52 20 15 18 670 962 981 0.81 38 15 19 660 1012 966 1.46 4 15 20 633 889 926 0.63 1 16 21 592 835 866 0.69 10 17 22 540 809 790 1.19 41 19 23 480 693 703 0.9 9 21 24 415 620 607 1.13 13 24 25 348 503 509 0.94 0 29 26 282 407 413 0.94 29 35 27 220 348 322 1.26 84 45 28 165 254 241 1.13 120 61 29 120 172 176 0.96 7 83 30 84 105 123 0.82 125 119 31 56 102 82 1.2 415 179 32 35 36 51 0.85 493 286 33 20 39 29 1.1 435 500 34 10 18 15 1.03 1786 1000 35 4 5 6 0.99 863 2500 36 1 0 1 0.99 - 10000

The first column of the table is the sum value. The second column lists how many The Numbers Game numbers have a sum value of the first column. And what those numbers are will pop up when you place your mouse over it. (If you don't see the pop-up list, your browser might not support it; the same list is available here.) Note that only the box representations of the The Numbers Game numbers are listed. For example, corresponding to a sum of 3, three numbers are listed (0003, 0012, 0111). The first and the third are triples, therefore have 4 permutations each, and the second is a double, thus with 12 permutations So, 4 + 12 + 4 = 20 numbers have a sum of 3.

Both the Massachusetts Lottery The Numbers Game 'Frequency' and 'Last Appearance' parts of the above list contain the actual values as well as the expected values (rounded to their integral values). For the frequencies, a direct comparison of the two values will indicate if a The Numbers Game sum is more, or less frequently drawn than expected. We have also introduced another column designated as "Factor", which indicates how high or low the actual frequency is compared to the expected value. If the "Factor" is greater than 1, it means that the The Numbers Game sum is drawn more times than expected, and vice versa. If the two values are very close to each other, the Factor will be 1 or very close to 1.

The expected values of the "Last Appearance" culumn are actually how often that Massachusetts The Numbers Game sum is expected to be drawn. For example, sums of 0 and 36 are expected every 10000 draws, while 17, 18 and 19 should show up every 15 draws. A very late The Numbers Game sum will have its actual value very much greater than the expected value. Just as an eye-catcher, we will show in blue those Massachusetts The Numbers Game sums that are late by more than 1.5 times the expected time lapse, and in red, those that are late by more than twice this value.

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