Hong Life CalculatorsUnderstanding the tennis serve stats calculator — concept and principle
Serve statistics show how a tennis player wins points when they start the rally. Broadcasts and match reports from the ATP and WTA tours list the same core numbers: first serve percentage, first serve points won, second serve points won and service points won overall. This calculator works them out from your own match counts, so you can track your game or analyse a match.
How it is calculated
- 1st serve % = first serves in ÷ total first serves × 100.
- 1st serve points won = points won when the first serve went in ÷ first serves in × 100.
- 2nd serve points won = points won on second serve ÷ second serve points × 100.
- Service points won = (1st + 2nd serve points won) ÷ (first serves in + second serve points) × 100.
Total first serves equals your total service points. Second serve points are the points in which the first serve was missed, so they include double faults.
The principle
Each service point is split into two paths. If the first serve lands, you play a "first serve point"; if it misses, you get a second chance, and that point becomes a "second serve point". The two win rates are measured separately because the serves are different: a first serve is usually hit harder and riskier, a second serve safer. Service points won combines both paths, weighted by how often each happens, so it is the single best summary of serving strength. It also links directly to how often a player holds serve.
Worked example
Defaults: 45 first serves in out of 70, 33 points won on first serve, 13 won on second serve, 25 second serve points.
- 1st serve % = 45 ÷ 70 = 64.29%.
- 1st serve points won = 33 ÷ 45 = 73.33%.
- 2nd serve points won = 13 ÷ 25 = 52%.
- Service points won = (33 + 13) ÷ (45 + 25) = 46 ÷ 70 = 65.71%.
Note that 45 + 25 = 70, so the counts are consistent.
| 1st serves total | 1st serve % |
|---|---|
| 17.5 | 257.14% |
| 35 | 128.57% |
| 52.5 | 85.71% |
| 70 | 64.29% |
| 87.5 | 51.43% |
| 105 | 42.86% |
| 140 | 32.14% |
How to read the result
On the men's tour, typical values are about 60–65% first serves in, low-to-mid 70s percent of first serve points won and around 50% on second serve. Women's tour figures for points won are usually lower. Winning about two thirds of service points, as in the example, is a strong serving match. A high first serve % with a low first serve win rate suggests the first serve is too soft; the reverse suggests too much risk.
Common mistakes
- Dividing first serve points won by all first serves instead of first serves in.
- Leaving double faults out of second serve points.
- Judging a player on one match; serve stats vary with surface and opponent.
Frequently asked questions
What is a good first serve percentage?
Around 60–65% is typical for professionals. Higher is good only if you still win a high share of those points.
Is it better to hit a second serve like a first serve?
Usually not. A missed second serve is a double fault, so most players trade speed for safety; the stats show whether that trade pays off.
How do I calculate return points won?
It is the opponent's service points you won divided by their total service points, which is 100% minus their service points won.
Sources: ATP Tour and WTA official match statistics definitions