.7777777
7/9
Law of Large Numbers
An athletes performance will tend to get closer to his/her ability with more performances.
Range of....13, 24, 35, 24, 8, 28 49, 20, 49, 50, 56, 33, 45, 18, 35, 55
48
Batting average if you had 33 hits in 102 at-bats.
.324
16 Game Season
Buccaneers record 9-3
Panthers record 8-3
5
.18181818
18/99
Area Principle
The area representing each category in a graph should be proportional to the number of observations in that category.
Mode of....3, 2, 4, 5, 3, 4, 7, 9, 6, 6 ,8, 5, 3, 7
3
Number of hits if you had 120 at-bats and your average was .275
33
34 Game Season
Sounders record 18-11
Rapids record 16-12
5
.43434343
43/99
Performance
Performance=Ability + Random Chance
Median of...13, 21, 24, 30, 26, 11, 10, 29, 14, 20, 22
21
65
82 Game Season
Clippers record 55-18
Lakers record 51-20
8
.127127127
127/999
Independent Events
When two separate events do not have any influence on the outcome of the other.
Mean of....13, 14, 9, 17, 21, 11, 10, 24, 23, 18
16
Batting average if you had 27 hits and 44 outs.
.380
162 Game Season
Giants record is 87-55
Dodgers record is 85-56
20
.245324532453
2453/9999
Ability
An athlete's true but unknown value that describes what the player would do if given an infinite number of opportunities in the same context.
Median of....21, 33, 42, 23, 28, 20, 13, 14, 45, 24, 29, 38
26
Batting average if you had 77 outs in 98 at-bats.
.214
162 Game Season
Red Sox record is 74-45
Yankees record is 68-49
40