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

The sum analysis for Massachusetts The Numbers Game was performed on Sunday, May 19, 2013 with 5603 as the latest number. The sum of the digits of this number is 14.
The analyses results are summarized in the table below.

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.