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Fast performance tracker • 2026 standards
\( FG\% = \frac{FGM}{FGA} \times 100 \)
\( TS\% = \frac{PTS}{2 \times (FGA + 0.44 \times FTA)} \times 100 \)
\( PER = \frac{1}{MP} \times [ ... ] \times 150 \)
Where:
Alternative formulas:
These formulas calculate key performance metrics used in sports analytics. They normalize player performance relative to opportunities and time played, allowing for fair comparisons between players with different playing times and roles.
Example: A player who scores 20 points on 18 field goal attempts and 10 free throw attempts:
\( TS\% = \frac{20}{2 \times (18 + 0.44 \times 10)} \times 100 = \frac{20}{2 \times 22.4} \times 100 = 44.6\% \)
Thus, the player's true shooting percentage is 44.6%.
| Stat | Total | Per Game | League Avg |
|---|
| Metric | Value | League Avg | Rank |
|---|
Player statistics measure individual performance across various metrics. Key metrics include field goal percentage, three-point percentage, true shooting percentage, and advanced metrics like Player Efficiency Rating (PER). These metrics help evaluate player effectiveness relative to opportunities and league averages.
Key player statistic calculation formulas:
Where:
True Shooting: \(TS\% = \frac{PTS}{2 \times (FGA + 0.44 \times FTA)} \times 100\)
Player Efficiency: \(PE = PTS + TRB + AST + STL + BLK - (FGA - FGM) - (FTA - FTM) - TOV\)
Typical performance benchmarks for basketball:
Quantitative measures of player effectiveness and contribution to team success.
\(FG\% = \frac{FGM}{FGA} \times 100\)
\(TS\% = \frac{PTS}{2 \times (FGA + 0.44 \times FTA)} \times 100\)
Normalized metrics that account for pace, minutes, and opportunities.
What is the formula for calculating field goal percentage?
The answer is B) (FGM ÷ FGA) × 100. Field goal percentage is calculated by dividing the number of field goals made (FGM) by the number of field goals attempted (FGA), then multiplying by 100 to get a percentage. This measures shooting accuracy.
Field goal percentage is a fundamental shooting statistic that measures a player's shooting efficiency. The formula always has the "made" statistic in the numerator and the "attempted" statistic in the denominator. This pattern applies to all percentage statistics in sports.
Field Goal Percentage: Measure of shooting accuracy
FGM: Field Goals Made
FGA: Field Goals Attempted
• Numerator: Successful attempts
• Denominator: Total attempts
• Multiply by 100 for percentage
• Higher percentage = better shooter
• Good shooters: >45% FG%
• Excellent shooters: >50% FG%
• Inverting the numerator and denominator
• Forgetting to multiply by 100
• Including free throws in FG calculation
A player made 45 field goals out of 100 attempts. What is their field goal percentage? Show your work.
Using the formula: \(FG\% = \frac{FGM}{FGA} \times 100\)
Given:
Step 1: Apply the formula
\(FG\% = \frac{45}{100} \times 100\)
Step 2: Calculate the fraction
\(\frac{45}{100} = 0.45\)
Step 3: Multiply by 100
\(0.45 \times 100 = 45\)
Therefore, the player's field goal percentage is 45%.
This calculation demonstrates the straightforward application of the field goal percentage formula. The result shows that the player successfully made 45% of their shot attempts, which is considered above average in basketball (league average is typically around 45-47%).
Field Goals Made: Successful shots from the field
Field Goals Attempted: Total shots from the fieldShooting Accuracy: Percentage of shots that were successful
• Include only field goals (not free throws)
• Divide made by attempted
• Multiply by 100 for percentage
• 45% FG% is good
• 50%+ FG% is excellent
• Always check your division
• Including free throws in calculation
• Inverting the fraction
• Forgetting to multiply by 100
A player scored 25 points on 18 field goal attempts and 8 free throw attempts. What is their true shooting percentage? Use the formula: \(TS\% = \frac{PTS}{2 \times (FGA + 0.44 \times FTA)} \times 100\)
Step 1: Identify the values
Step 2: Calculate the denominator
\(2 \times (FGA + 0.44 \times FTA)\)
\(2 \times (18 + 0.44 \times 8)\)
\(2 \times (18 + 3.52)\)
\(2 \times 21.52 = 43.04\)
Step 3: Apply the formula
\(TS\% = \frac{25}{43.04} \times 100\)
\(TS\% = 0.581 \times 100 = 58.1\%\)
Therefore, the player's true shooting percentage is 58.1%.
True shooting percentage is a more comprehensive shooting metric that accounts for field goals, three-pointers, and free throws. The 0.44 multiplier for free throws represents the average number of possessions ended by a free throw attempt. This metric provides a more complete picture of shooting efficiency.
True Shooting %: Comprehensive shooting efficiency metric
Free Throw Adjustment: 0.44 accounts for possession value
Shooting Efficiency: Points per shooting possession
• Include all scoring attempts
• Use 0.44 multiplier for FTA
• Higher % = better shooter
• 58%+ TS% is excellent
• 55%+ TS% is good
• Accounts for all scoring
• Forgetting the 0.44 multiplier
• Using wrong denominator
• Not including free throws
Calculate the Player Efficiency (PE) for a player who had: 22 points, 8 rebounds, 6 assists, 2 steals, 1 block, 15 field goal attempts (making 8), 4 free throw attempts (making 3), and 3 turnovers. Use the formula: \(PE = PTS + TRB + AST + STL + BLK - (FGA - FGM) - (FTA - FTM) - TOV\)
Step 1: Identify all values
Step 2: Calculate missed shots
Missed FGs = FGA - FGM = 15 - 8 = 7
Missed FTs = FTA - FTM = 4 - 3 = 1
Step 3: Apply the formula
\(PE = 22 + 8 + 6 + 2 + 1 - 7 - 1 - 3\)
\(PE = 39 - 11 = 28\)
Therefore, the player's efficiency rating is 28.
Player efficiency accounts for positive contributions (points, rebounds, assists, steals, blocks) while subtracting negative contributions (missed shots, turnovers). This provides a single number representing overall performance. A score of 28 is exceptional (league average is typically around 15).
Player Efficiency: Comprehensive performance metric
Positive Contributions: Points, rebounds, assists, steals, blocks
Negative Contributions: Missed shots, turnovers
• Add positive stats
• Subtract missed shots
• Subtract turnovers
• League avg = 15
• 20+ = very good
• 25+ = elite
• Forgetting to subtract missed shots
• Not including turnovers
• Adding instead of subtracting negatives
How do you calculate rebounds per game if a player had 80 total rebounds over 10 games?
The answer is A) 80 ÷ 10 = 8.0 RPG. To calculate per-game statistics, divide the total statistic by the number of games played. Rebounds per game (RPG) = Total Rebounds ÷ Games Played. This normalizes performance across different sample sizes.
Per-game statistics allow for fair comparison between players who played different numbers of games. The general formula is: Per Game = Total ÷ Games Played. This approach applies to all statistics (points, rebounds, assists, etc.).
Per-Game Stats: Normalized statistics for comparison
Normalization: Adjusting for different sample sizes
Statistical Comparison: Fair evaluation across players
• Total ÷ Games = Per Game
• Always normalize for fair comparison
• Higher sample size = more reliable
• RPG = Rebounds per game
• APG = Assists per game
• PPG = Points per game
• Dividing games by total instead of vice versa
• Not normalizing when comparing players
• Forgetting to use consistent sample size
Q: What's the difference between True Shooting Percentage and Field Goal Percentage?
A: Field Goal Percentage (FG%) only considers field goal attempts, calculated as \(FG\% = \frac{FGM}{FGA} \times 100\). True Shooting Percentage (TS%) provides a more comprehensive view by including free throws in the calculation:
\(TS\% = \frac{PTS}{2 \times (FGA + 0.44 \times FTA)} \times 100\)
For example, a player who scores 20 points with 8 FGM on 18 FGA and 4 FTM on 6 FTA:
FG% = (8/18) × 100 = 44.4%
TS% = 20/(2 × (18 + 0.44 × 6)) × 100 = 20/(2 × 20.64) × 100 = 48.5%
TS% better captures overall shooting efficiency since it accounts for all scoring opportunities.
Q: How is Player Efficiency Rating (PER) calculated?
A: Player Efficiency Rating (PER) is a complex formula developed by John Hollinger that measures per-minute productivity, adjusted for pace and league average. The basic concept is:
\(PER = \frac{1}{MP} \times [Scoring\ Terms - Missed\ Shot\ Terms + Rebound\ Terms + Assist\ Terms + Steal\ Terms + Block\ Terms - Turnover\ Terms - Foul\ Terms] \times League\ Adjustment\)
The formula includes numerous components:
League average PER is set to 15.0, so a player with PER=20.0 is 33% better than average. The full formula involves 20+ terms and extensive normalization calculations.