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

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