How Old are the Players?

One question to ask is: How old are players when they play international matches? What is the distribution of players’ ages for the matches bets are offered on?

The methodology is fairly simple. Take all matches from the database and select those that have odds. Then for each match, for each player that participated in this match calculate the age at the date of the match. The age consists of the age in years and the fraction of the year between the last birthday and the match in question. For the averages, the age including the fractional part is used. For the distributions only the age in years is used. If the player’s date of birth is not known, the player is skipped.

This analysis includes matches from 2010 until today. In total the analysis included 87996 different matches with 7844 different players. The data was divided by the five disciplines, for mixed doubles it was further divided into male and female players.

As mentioned above, for some players the date of birth is not known. Moreover for some players there are implausible dates leading to some entries for very young ages. Nevertheless the entries for older ages, up to 65, seem to be genuine, as there are some older players, like Matthew Fogarty or Svetlana Zilberman, competing in international tournaments.

Averages

The averages are as follows:

Discipline average Age Entries Matches
Men’s Singles 23.90 50833 26242
Women’s Singles 22.42 37395 18881
Men’s Doubles 24.28 60431 15493
Women’s Doubles 23.10 49424 12538
Mixed Doubles (male) 24.23 29231 14935
Mixed Doubles (female) 23.47 29410 14935

Women’s singles players are the youngest, followed by women’s doubles and the female mixed doubles players. For the men, the singles players are the youngest, while the difference between men’s doubles players and male mixed doubles players is negligible. The difference for singles players between males and females is about one and a half years.

Distributions

The distribution of ages is given in the following table.

Age MS WS MD WD MX-M MX-F
0 1 0 1 0 0 0
1 0 0 0 0 0 0
2 0 0 0 0 0 0
3 0 0 0 0 0 0
4 0 0 0 0 0 0
5 0 0 0 0 0 0
6 0 0 0 0 0 0
7 0 0 0 1 0 1
8 0 0 0 0 0 0
9 0 0 0 0 0 0
10 4 0 3 0 0 0
11 6 1 7 4 2 1
12 4 9 3 7 0 1
13 20 65 13 54 6 21
14 120 168 96 123 34 79
15 293 536 259 395 141 227
16 886 1274 752 962 348 596
17 1804 2248 1733 2056 845 1182
18 3180 2953 2958 3156 1459 1786
19 4098 3739 4276 4319 2133 2374
20 4589 4027 5253 4811 2611 2727
21 4762 3991 5453 5223 2941 2921
22 4645 3396 5346 4772 2793 2626
23 4198 3054 5310 4858 2553 2608
24 3986 2902 4952 4262 2397 2490
25 3490 2420 4710 3588 2153 2050
26 2918 2001 4027 2983 1893 2030
27 2348 1535 3465 2338 1525 1753
28 2255 993 2897 1789 1242 1266
29 1744 695 2534 1473 1087 818
30 1531 363 1663 791 811 575
31 1207 282 1491 517 499 340
32 851 285 1034 384 330 346
33 702 176 682 241 301 215
34 495 106 598 112 327 160
35 333 76 301 42 195 72
36 138 41 161 35 166 60
37 57 13 118 27 129 15
38 36 19 62 36 103 2
39 20 8 71 23 65 5
40 12 6 32 19 43 1
41 4 2 38 11 33 8
42 5 0 24 2 7 4
43 20 0 32 6 7 3
44 4 1 15 0 3 3
45 0 0 1 3 0 5
46 1 0 4 0 1 7
47 8 0 12 0 0 8
48 2 0 3 0 1 1
49 6 1 1 0 0 1
50 1 3 0 1 0 2
51 1 2 0 0 0 1
52 3 2 1 0 1 1
53 0 2 0 0 0 2
54 1 0 0 0 0 1
55 0 0 0 0 0 2
56 1 0 0 0 0 0
57 3 0 7 0 0 0
58 2 0 4 0 3 2
59 6 0 11 0 2 0
60 9 0 12 0 9 7
61 3 0 3 0 14 3
62 6 0 1 0 11 0
63 5 0 0 0 5 1
64 5 0 1 0 2 0
65 4 0 0 0 0 0

The central section of this data is given in the following plot.

absolute

There are a couple of things to note in this plot: Most entries are for men’s doubles and women’s doubles as there are 4 players per match adding to the histogram. There are more men’s singles than women’s singles. All plots peak around the age of 21. The plot for women’s singles reaches the peak earlier than the plot for men’s singles. Both singles’ curves fall rapidly after ages of around 21. The plots for mixed doubles are lowest as there are only two players per match contributing to each curve. The curve for male players is shifted to the right, thus showing that male mixed doubles players tend to be older than female mixed doubles players on average.

In the following plot, for each histogram the number of entries per age has been divided by the total number of entries in that discipline (for mixed treating male and female players seperately), eliminating the influence of the different numbers of entries and giving the relative distribution of ages.

relative

In this plot, it is obvious that women’s singles players are younger than players in other disciplines. Male players in general are older than female players.

Another way to plot this data is to show the cumulative distribution, i.e. the percentages of entries with an age smaller then a given age.

cumulative

The curve for women’s singles is the first to rise. All curves for female players are to the left of the curves for the male players. The women’s doubles curve is between the curves for singles and mixed doubles. The curves for male players rise at later ages, the differences between the disciplines are not as big as for women.

Conclusion

So as a summary: female players are younger than male players. Singles players are younger than doubles players. Discussing the reasons is beyong the scope of this post, I can only give some guesses. Female players might be younger on average because women’s badminton is not as athletic as men’s badminton, focusing more on technical skills that can already be achieved at younger ages. Moreover some female players might end their career earlier in order to have children. The difference between singles and doubles might be due to the more athletic nature in singles and the more tactical and technical nature of doubles.