Strokes Gained Approach Calculator
Free Strokes gained approach Calculator for golf. Enter your stats to get performance metrics and improvement targets.
Calculator
Adjust values & calculateFormula
Strokes gained compares the expected strokes to hole out from the starting position versus the ending position, subtracting 1 for the stroke taken. Positive values indicate performance above PGA Tour average from that distance and lie. The baselines come from millions of shots tracked on the PGA Tour.
Last reviewed: December 2025
Worked Examples
Example 1: Strong Approach from 150 Yards
Example 2: Poor Approach Missing Green
Background & Theory
The Strokes Gained (approach) applies the following established principles and formulas. Sports statistics and performance metrics represent one of the most data-rich domains of applied mathematics available to the general public. Baseball, in particular, has developed an exceptionally dense vocabulary of calculated metrics. Earned run average (ERA) quantifies a pitcher's effectiveness as (earned runs × 9) / innings pitched, normalising performance to a nine-inning standard regardless of how many complete games were pitched. WHIP, or walks and hits per inning pitched, is computed as (walks + hits) / innings pitched and provides a complementary measure of how frequently a pitcher allows baserunners. Batting average, one of the oldest statistics in the sport, is simply hits / at-bats, though more modern metrics such as on-base percentage and slugging percentage have largely supplanted it as primary performance indicators. The NFL passer rating formula is considerably more complex, combining completion percentage, yards per attempt, touchdown rate, and interception rate into a composite score scaled to a 0–158.3 range. Golf handicap calculation, now governed by the World Handicap System introduced in 2020, uses a Handicap Differential formula applied to the best 8 of a player's most recent 20 score differentials, with adjustments for course rating and slope. The Elo rating system, originally developed by physicist Arpad Elo for chess ranking in the 1960s, has become a widely adopted framework for competitive ranking in sports ranging from football to table tennis. It updates each player's rating after every match based on the margin of expected versus actual result. In endurance sports, pace calculation converts total time to a per-mile or per-kilometre rate, informing training intensity and race strategy. In cycling, power-to-weight ratio (watts per kilogram) is the primary determinant of climbing performance and is central to both professional race analysis and amateur fitness tracking. Fantasy sports scoring systems synthesise multiple individual statistics into aggregate point totals, requiring participants to understand the relative value of different performance categories across sports.
History
The history behind the Strokes Gained (approach) traces back through the following developments. Organised athletic competition has roots extending to ancient Greece, where the Olympic Games were held at Olympia beginning around 776 BCE. These early games were embedded in religious observance and civic identity, featuring events such as sprinting, wrestling, and the pentathlon. The codification of modern sport rules accelerated dramatically in 19th century Britain, where industrialisation created both the leisure time and the institutional infrastructure for organised competition. The Football Association formalised the rules of association football in 1863, and similar governing bodies for cricket, rugby, tennis, and athletics followed in subsequent decades. Pierre de Coubertin, a French educator inspired by the English model of sport as character-building, campaigned to revive the Olympic Games as a modern international institution. The first modern Summer Olympics were held in Athens in 1896, establishing the template for international multi-sport competition that has continued to the present. FIFA, the international governing body for association football, was founded in Paris in 1904 with seven member nations. The serious statistical analysis of baseball, later termed sabermetrics, was pioneered by writers and analysts including Bill James beginning in the late 1970s. James self-published his Baseball Abstract annuals starting in 1977, introducing rigorous empirical methods to a domain previously dominated by traditional counting statistics and subjective scouting. His work influenced a generation of analysts and front-office executives. The publication of Michael Lewis's Moneyball in 2003, documenting the Oakland Athletics' 2002 season and their use of on-base percentage and other undervalued metrics, brought sports analytics to mainstream attention. The subsequent analytics revolution reshaped hiring practices and game strategy across professional sports leagues. Fantasy sports, which require participants to engage directly with statistical outputs, grew from a hobby practised by a few thousand enthusiasts in the 1980s into a multi-billion dollar industry by the 2010s, with tens of millions of participants across football, baseball, basketball, and other sports.
Frequently Asked Questions
Formula
SG Approach = Expected Strokes (before) - Expected Strokes (after) - 1
Strokes gained compares the expected strokes to hole out from the starting position versus the ending position, subtracting 1 for the stroke taken. Positive values indicate performance above PGA Tour average from that distance and lie. The baselines come from millions of shots tracked on the PGA Tour.
Worked Examples
Example 1: Strong Approach from 150 Yards
Problem: A golfer hits an approach from 150 yards to 20 feet on the green. The Tour baseline from 150 yards is 2.95 strokes to hole out, and from 20 feet on the green is 1.82 strokes. Calculate strokes gained.
Solution: Expected strokes BEFORE shot = 2.95 (from 150 yards)\nExpected strokes AFTER shot = 1.82 (from 20 feet on green)\nStrokes Gained = 2.95 - 1.82 - 1.0 = +0.13\nThe golfer gained 0.13 strokes above Tour average\nScoring opportunity: Makeable birdie putt
Result: SG Approach: +0.13 | Better than Tour average | Created birdie opportunity
Example 2: Poor Approach Missing Green
Problem: A golfer misses the green from 125 yards, finishing in a greenside bunker 45 feet from the pin. Tour baseline from 125 yards is 2.85, from bunker at 45 feet is approximately 2.50.
Solution: Expected strokes BEFORE shot = 2.85 (from 125 yards)\nExpected strokes AFTER shot = 2.50 (greenside bunker, 45 ft)\nStrokes Gained = 2.85 - 2.50 - 1.0 = -0.65\nThe golfer lost 0.65 strokes vs Tour average\nMissing the green from this distance is costly
Result: SG Approach: -0.65 | Below Tour average | Scrambling now required
Frequently Asked Questions
What is strokes gained approach and why is it important?
Strokes gained approach is an advanced golf statistic that measures how many strokes a player gains or loses on approach shots compared to the PGA Tour average from the same distance and lie. Unlike traditional statistics like greens in regulation, strokes gained approach captures both the frequency and quality of approach shots. It accounts for the difficulty of each shot by comparing the expected strokes to hole out before and after the shot, minus the one stroke taken. This metric is important because multiple studies have shown that approach play is the strongest predictor of overall scoring among all shot categories, explaining more variation in professional scoring than driving, putting, or short game combined.
How is strokes gained approach calculated for a single shot?
Strokes gained approach for a single shot is calculated as the difference between the expected strokes to hole out from the starting position minus the expected strokes from the ending position, minus one stroke for the shot taken. For example, from 150 yards in the fairway, the Tour average expected strokes to hole out is approximately 2.95. If your approach finishes on the green 20 feet from the hole, the expected putts from 20 feet is about 1.82. The strokes gained equals 2.95 minus 1.82 minus 1, which is 0.13 strokes gained. A positive value means you performed better than the Tour average from that distance, while a negative value means you underperformed compared to the Tour benchmark.
What is a good strokes gained approach number for amateur golfers?
Strokes gained approach varies significantly across skill levels. PGA Tour leaders in strokes gained approach typically gain 0.8 to 1.2 strokes per round above the Tour average. The Tour average itself is zero by definition. A scratch amateur golfer typically loses about 1.0 to 2.0 strokes per round on approach compared to Tour average. A 10-handicap player loses approximately 3.0 to 4.0 strokes, while a 20-handicap may lose 5.0 to 7.0 strokes on approaches per round. For amateurs tracking improvement, focus on the trend rather than the absolute number, because any positive movement in strokes gained approach directly translates to lower scores over time.
How does approach distance affect strokes gained calculations?
Approach distance dramatically affects strokes gained calculations because the expected strokes to hole out increases with distance, creating a wider range of possible outcomes. From 100 yards, the Tour baseline is about 2.75 expected strokes, leaving a relatively narrow range for gaining or losing strokes. From 200 yards, the baseline increases to about 3.15, and the variance in outcomes is much larger. This means hitting a green from 200 yards gains more strokes than hitting from 100 yards because the baseline expectation is lower. The system fairly rewards difficult shots that are executed well while penalizing poor shots proportionally to the opportunity cost. Tracking strokes gained by distance category reveals whether your weakness lies in long approaches, mid-irons, or wedge distances.
What is the relationship between proximity to the hole and strokes gained?
Proximity to the hole and strokes gained approach are closely correlated because finishing closer to the pin generally results in fewer putts needed to hole out. The PGA Tour average proximity on approach shots is approximately 33 feet from the hole. Each foot closer to the hole saves roughly 0.015 strokes on average due to improved make percentages and reduced three-putt risk. However, the relationship is not perfectly linear because putting difficulty changes at different rates across distances. The difference between 5 feet and 15 feet is much larger in terms of make percentage than the difference between 35 feet and 45 feet. This is why elite approach players gain significant strokes by consistently hitting approaches inside 20 feet where birdie conversion rates rise sharply.
How does strokes gained approach compare to greens in regulation?
Strokes gained approach provides significantly more information than greens in regulation because GIR is a binary statistic that only records whether you reached the green, not how well you reached it. A shot that finishes 2 feet from the hole on a par 4 receives the same GIR credit as a shot that finishes 60 feet away in a difficult three-putt position. Strokes gained approach captures this crucial difference by measuring the quality of every approach shot on a continuous scale. Additionally, GIR does not account for the distance or difficulty of the approach shot. Hitting a green from 80 yards is much easier than from 220 yards, but both count equally in GIR calculations. Strokes gained normalizes for distance and lie, providing a truly apples-to-apples comparison across all approach situations.
References
Reviewed by Sher, Sports Science & Nutrition Specialist · Editorial policy