Pace and Efficiency: Reading an NBA Box Score Properly

A basketball box score does not tell you how good an offence was until you divide by the number of possessions it used. The arithmetic is simple: possessions are estimated as field-goal attempts minus offensive rebounds plus turnovers plus 0.44 times free-throw attempts, and a per-100 rate is 100 times points divided by possessions.

Photo: Kenneth C. Zirkel, CC BY-SA 4.0 · source file

Why totals mislead

Points per game rewards teams that simply run more plays. A squad that scores 110 points on 120 possessions has not outperformed one that scores 108 on 100. The first team wasted chances; the second squeezed more from each. Yet the raw total says otherwise.

This matters because pace varies wildly. Some teams push the ball; others grind. Some games feature 95 possessions, others 105. Comparing raw scores across these contexts compares apples to oranges. The box score's top-line numbers hide this distortion entirely.

Fans and analysts who stop at the final score miss the efficiency layer. A 120-point night sounds dominant. Against a fast, sloppy opponent who handed you extra chances, it might merely be average. The total confuses quantity with quality.

Counting possessions from a box score

The standard estimate works because it accounts for how possessions actually end. A field-goal attempt uses a possession unless the offence grabs the rebound and continues. Hence: attempts minus offensive rebounds. Turnovers end possessions without a shot, so they enter whole. Free throws complicate matters. Not every trip to the line consumes a full possession—technical fouls, and-ones, and bonus situations split them. The 0.44 coefficient approximates this: roughly 44% of free-throw attempts come from discrete possessions.

This is not exact. It is close enough to compare offences meaningfully. The formula is widely used because it tracks what matters: how many times the ball changed hands through scoring or failure.

The per-100 rate

Once you have possessions, divide points by possessions and multiply by 100. The result: points per 100 possessions. This strips out pace entirely. A team scoring 115 per 100 is efficient regardless of whether the game had 90 possessions or 110.

The number now means something absolute. League averages vary by season; higher numbers mark elite territory, lower ones below average. These benchmarks travel across eras and styles. Different offensive styles become comparable.

The per-100 rate also isolates what a coach controls. Pace is a strategic choice. Efficiency is execution. Evaluating offences by totals conflates the two and obscures who is actually converting.

A worked example

Take a hypothetical team in a hypothetical game. They attempt 85 field goals, grab 12 offensive rebounds, lose the ball 14 times, and shoot 25 free throws. Possessions equal 85 minus 12 plus 14 plus 0.44 times 25. That is 85 minus 12 is 73, plus 14 is 87, plus 11 is 98 possessions. They scored 112 points. The per-100 rate: 112 divided by 98, times 100, equals 114.3.

Raw total: 112. Efficiency: slightly above average. The gap between appearance and reality is the entire story.

What the rate does not tell you

The estimate has limits. It treats all possessions as equal, though end-of-quarter heaves and garbage-time baskets distort small samples. It cannot distinguish between a team that generates open threes and one that hits contested twos at the same percentage. It says nothing about defense, rebounding, or the variance that makes basketball unpredictable.

The 0.44 coefficient itself is an approximation. Actual free-throw possession usage varies by team and game situation. For single-game analysis, this introduces noise. For season-long samples, it washes out.

Most critically, the rate cannot separate creation from conversion. A high per-100 might reflect brilliant shot-making or merely easy attempts created by teammates. The number describes output, not process.

A fast offence is not a good offence. The division tells you which is which.