## Saturday, February 2, 2013

### Analysis of the MegaMIllions lottery

I compiled some data in Excel using the winning numbers data from 5-17-2002 – 3-23-2012.A few of the charts created using the winning numbers for the Mega Millions lottery are found below.
This first chart describes the number of times each number is drawn for each pick. From the data we see that the number 2 is more likely to be the first number drawn because it shows up as the first pick more often. The number of times 2 has appeared first is 75.4% of the total number of times a 2 has been in the winning numbers.

How many times each numbers is drawn

first pick
second pick
third pick
fourth pick
fifth pick
mega ball
1s
82
0
0
0
0
19
2's
92
9
0
0
0
21
3s
78
7
1
0
0
27
4's
70
23
1
0
0
24
5's
68
22
3
1
0
18
6's
61
21
3
0
0
22
7's
63
24
6
1
0
28
8's
53
27
4
0
0
22
9's
52
36
6
0
0
27
10's
50
46
13
0
0
27
11's
39
32
10
3
0
17
12's
35
44
16
2
0
21
13's
27
49
15
2
0
27
14's
46
40
19
2
1
16
15's
24
39
19
4
0
23
16's
32
42
16
10
0
15
17's
17
50
30
3
0
17
18's
23
40
27
10
1
21
19's
12
38
30
11
0
22
20's
13
40
38
7
1
24
21's
10
33
35
13
2
30
22's
14
34
32
13
4
25
23's
9
27
30
12
2
18
24's
14
32
36
10
3
23
25's
10
33
29
19
4
20
26's
5
25
39
19
2
22
27's
9
25
42
16
7
20
28's
5
20
35
34
5
9
29's
4
26
33
30
7
25
30's
2
23
27
29
8
21
31's
2
25
40
29
12
21
32's
1
19
34
35
10
15
33's
1
11
25
29
13
23
34's
0
8
31
29
11
26
35's
1
12
30
29
16
28
36's
1
10
25
41
21
32
37's
1
5
33
37
7
17
38's
1
6
25
40
22
25
39's
1
7
30
46
23
18
40's
0
5
19
45
23
20
41's
0
3
20
28
26
19
42's
0
3
18
43
29
23
43's
0
4
22
27
31
20
44's
0
1
18
32
42
21
45's
0
1
19
38
37
19
46's
0
1
11
44
47
17
47's
0
0
7
35
40
7
48's
0
0
12
41
55
4
49's
0
0
3
33
54
7
50's
0
0
2
25
74
4
51's
0
0
4
26
81
1
52's
0
0
2
17
89
10
53's
0
0
2
16
56
0
54's
0
0
1
8
50
0
55's
0
0
0
4
49
0
56's
0
0
0
0
63
0

In this next chart I have laid out the average, mode, median, harmonic mean and other analysis of the number distributions across all of the different picks.

 first pick second pick third pick fourth pick fifth pick mega ball median all 7.5 18 28 38 49 24 Average all 9.278210117 18.6624514 28.3015564 37.42607 46.4542802 23.990272 mode all 2 17 27 39 52 36 standard deviation 7.137233978 9.10326996 10.2470703 9.59011029 7.6711884 13.842004 Geometric mean 6.565968069 16.139646 26.1471469 35.9559721 45.6978254 18.277583 Harmonic mean 4.207752217 13.1495089 23.5028125 34.0860285 44.7726832 10.698143 Mean - stddev 2.140976139 9.5591814 18.0544862 27.8359598 38.7830918 10.148268 Mean + stddev 14.63723398 27.10327 38.2470703 47.5901103 56.6711884 37.842004 avg mean+-stddev 8.389105058 18.3312257 28.1507782 37.713035 47.7271401 23.995136

This final chart is all of the data above rounded to the nearest whole number.
 first pick second pick third pick fourth pick fifth pick mega ball 8 18 28 38 49 24 9 19 28 37 46 24 2 17 27 39 52 36 7 9 10 10 8 14 7 16 26 36 46 18 4 13 24 34 45 11 2 10 18 28 39 10 15 27 38 48 57 38 8 18 28 38 48 24

It is important to note, that all these numbers represent the various distribution statistics of the numbers that were drawn at each of the televised drawings, and do not represent any regressive or other types of predictive models. These numbers are just simply a statistical analysis of the given data for educational purposes only. All data represents the real numbers published at http://www.megamillions.com/numbers/pastdrawings.asp The website offers a tool at the top of the page to select your data range and get all of the drawings