The frequency of numbers drawn and expected numbers by draw
The frequency of occurrence reflects the number of draws in the USA Mega Millions lottery between the repeated appearance of a particular number.
In the first table, the following metrics are calculated:
Mean – the average number of draws between the repeated appearance of the ball
Median – in half of the cases, the number of draws between appearances was greater than this number.
Mode – the most common number of draws between appearances.
Depth – the number of draws passed since the last appearance of the ball to the present time (depth = -1 means the ball has not appeared during the selected period).
Standard deviation – a measure of dispersion, indicating how far the frequency deviates from the mean.
For analysis based on the frequency of occurrence, you only need to select the desired period of USA Mega Millions draws. Then all the results will be recalculated automatically.
How to use the analysis results! The first part presents all the metrics for the frequency of occurrence of each USA Mega Millions number. Then there is a table with expected numbers (balls) by draws, based on these data. Analyze and choose the expected numbers for a specific draw.
To create combinations, select numbers and press the «Generate» button in the generator. The generated combinations can be saved in the notebook by clicking the icon .
Increase the number of draws for a more comprehensive analysis.
| Ball | Depth | Mean | Median | Mode | Min | Max | Deviation |
|---|---|---|---|---|---|---|---|
1 | -1 | - | - | - | - | - | - |
2 | 8 | 3 | 3 | 3 | 3 | 3 | 0 |
3 | -1 | - | - | - | - | - | - |
4 | -1 | - | - | - | - | - | - |
5 | -1 | - | - | - | - | - | - |
6 | 9 | 3 | 3 | 3 | 3 | 3 | 0 |
7 | 10 | - | - | - | - | - | - |
8 | 4 | - | - | - | - | - | - |
9 | 14 | - | - | - | - | - | - |
10 | 1 | 3.33 | 2 | 0 & 2 & 8 | 0 | 8 | 3.4 |
11 | 1 | 3 | 3 | 3 | 3 | 3 | 0 |
12 | 14 | - | - | - | - | - | - |
13 | -1 | - | - | - | - | - | - |
14 | 5 | 10 | 10 | 10 | 10 | 10 | 0 |
15 | -1 | - | - | - | - | - | - |
16 | 3 | 2.5 | 1.5 | 0 & 1 & 2 & 7 | 0 | 7 | 2.69 |
17 | 15 | - | - | - | - | - | - |
18 | 0 | 2.67 | 0 | 0 | 0 | 8 | 3.77 |
19 | -1 | - | - | - | - | - | - |
20 | -1 | - | - | - | - | - | - |
21 | 0 | - | - | - | - | - | - |
22 | 4 | 7 | 7 | 7 | 7 | 7 | 0 |
23 | 3 | - | - | - | - | - | - |
24 | 1 | 5 | 5 | 5 | 5 | 5 | 0 |
25 | 19 | - | - | - | - | - | - |
26 | 2 | - | - | - | - | - | - |
27 | -1 | - | - | - | - | - | - |
28 | 8 | 0 | 0 | 0 | 0 | 0 | 0 |
29 | 0 | 5.5 | 5.5 | 5 & 6 | 5 | 6 | 0.5 |
30 | 11 | - | - | - | - | - | - |
31 | -1 | - | - | - | - | - | - |
32 | -1 | - | - | - | - | - | - |
33 | 11 | 2 | 2 | 1 & 3 | 1 | 3 | 1 |
34 | 9 | - | - | - | - | - | - |
35 | -1 | - | - | - | - | - | - |
36 | 7 | - | - | - | - | - | - |
37 | 8 | 7 | 7 | 7 | 7 | 7 | 0 |
38 | 5 | 5.5 | 5.5 | 2 & 9 | 2 | 9 | 3.5 |
39 | 3 | 15 | 15 | 15 | 15 | 15 | 0 |
40 | 4 | 1.8 | 1 | 0 | 0 | 5 | 1.94 |
41 | 16 | - | - | - | - | - | - |
42 | 0 | 11 | 11 | 11 | 11 | 11 | 0 |
43 | 15 | - | - | - | - | - | - |
44 | -1 | - | - | - | - | - | - |
45 | 5 | 1 | 1 | 1 | 1 | 1 | 0 |
46 | 3 | 11 | 11 | 11 | 11 | 11 | 0 |
47 | 4 | 8 | 8 | 8 | 8 | 8 | 0 |
48 | 9 | 4 | 4 | 4 | 4 | 4 | 0 |
49 | 2 | 16 | 16 | 16 | 16 | 16 | 0 |
50 | 0 | - | - | - | - | - | - |
51 | 17 | - | - | - | - | - | - |
52 | 19 | - | - | - | - | - | - |
53 | -1 | - | - | - | - | - | - |
54 | 6 | - | - | - | - | - | - |
55 | 3 | 3 | 3 | 0 & 6 | 0 | 6 | 3 |
56 | 6 | - | - | - | - | - | - |
57 | 6 | 10 | 10 | 10 | 10 | 10 | 0 |
58 | 2 | 5.5 | 5.5 | 5 & 6 | 5 | 6 | 0.5 |
59 | -1 | - | - | - | - | - | - |
60 | 1 | 7.5 | 7.5 | 3 & 12 | 3 | 12 | 4.5 |
61 | 2 | - | - | - | - | - | - |
62 | 9 | 3.5 | 3.5 | 2 & 5 | 2 | 5 | 1.5 |
63 | 2 | - | - | - | - | - | - |
64 | 11 | - | - | - | - | - | - |
65 | 19 | - | - | - | - | - | - |
66 | 12 | - | - | - | - | - | - |
67 | -1 | - | - | - | - | - | - |
68 | 10 | 2 | 2 | 2 | 2 | 2 | 0 |
69 | -1 | - | - | - | - | - | - |
70 | 18 | - | - | - | - | - | - |
| Ball | Depth | Mean | Median | Mode | Min | Max | Deviation |
|---|---|---|---|---|---|---|---|
1 | 4 | - | - | - | - | - | - |
2 | 0 | 15 | 15 | 15 | 15 | 15 | 0 |
3 | 6 | - | - | - | - | - | - |
4 | -1 | - | - | - | - | - | - |
5 | -1 | - | - | - | - | - | - |
6 | -1 | - | - | - | - | - | - |
7 | -1 | - | - | - | - | - | - |
8 | -1 | - | - | - | - | - | - |
9 | 2 | 7 | 7 | 6 & 8 | 6 | 8 | 1 |
10 | 17 | - | - | - | - | - | - |
11 | 11 | - | - | - | - | - | - |
12 | 3 | - | - | - | - | - | - |
13 | 7 | 0 | 0 | 0 | 0 | 0 | 0 |
14 | 12 | - | - | - | - | - | - |
15 | -1 | - | - | - | - | - | - |
16 | 14 | 0 | 0 | 0 | 0 | 0 | 0 |
17 | -1 | - | - | - | - | - | - |
18 | 10 | - | - | - | - | - | - |
19 | -1 | - | - | - | - | - | - |
20 | 1 | 11 | 11 | 11 | 11 | 11 | 0 |
21 | -1 | - | - | - | - | - | - |
22 | 19 | - | - | - | - | - | - |
23 | -1 | - | - | - | - | - | - |
24 | 5 | - | - | - | - | - | - |
25 | -1 | - | - | - | - | - | - |
Number generator
| Field № 1 | Field № 2 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Ball | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| Frequency of ball drop | - | 3 | - | - | - | 3 | - | - | - | 3.33 | 3 | - | - | 10 | - | 2.5 | - | 2.67 | - | - | - | 7 | - | 5 | - | - | - | 0 | 5.5 | - | - | - | 2 | - | - | - | 7 | 5.5 | 15 | 1.8 | - | 11 | - | - | 1 | 11 | 8 | 4 | 16 | - | - | - | - | - | 3 | - | 10 | 5.5 | - | 7.5 | - | 3.5 | - | - | - | - | - | 2 | - | - | - | 15 | - | - | - | - | - | - | 7 | - | - | - | 0 | - | - | 0 | - | - | - | 11 | - | - | - | - | - |
| Ball has not appeared (draws) | -1 | 8 | -1 | -1 | -1 | 9 | 10 | 4 | 14 | 1 | 1 | 14 | -1 | 5 | -1 | 3 | 15 | 0 | -1 | -1 | 0 | 4 | 3 | 1 | 19 | 2 | -1 | 8 | 0 | 11 | -1 | -1 | 11 | 9 | -1 | 7 | 8 | 5 | 3 | 4 | 16 | 0 | 15 | -1 | 5 | 3 | 4 | 9 | 2 | 0 | 17 | 19 | -1 | 6 | 3 | 6 | 6 | 2 | -1 | 1 | 2 | 9 | 2 | 11 | 19 | 12 | -1 | 10 | -1 | 18 | 4 | 0 | 6 | -1 | -1 | -1 | -1 | -1 | 2 | 17 | 11 | 3 | 7 | 12 | -1 | 14 | -1 | 10 | -1 | 1 | -1 | 19 | -1 | 5 | -1 |
| Expected draws considering the average frequency of occurrence | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 52 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 53 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 54 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 55 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 56 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 57 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 58 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 59 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 60 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
| 61 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |