Slatery field notes / sports research / guided learning

Per game vs per opportunity: why both matter

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Same 80 yards. A different way to get there.

01Runner A80rushing yards

10 carries · 8 yards per carry

02Runner B80rushing yards

20 carries · 4 yards per carry

Invented rushing examples from one game per player; no receiving yards included.

Equal output can hide very different workloads.

1
THE IDEA

Ask which question the number answers.

Two running backs finish a game with 80 rushing yards. In the box score, they look level. Then you notice that one needed twice as many carries. That extra detail changes what you can learn from the result.

A per-game average describes output across games. A per-carry average describes output across carries. Neither replaces the other: one helps you understand the total contribution, while the other helps explain how the player got there.

Think of the unit as part of the number's name. “80 yards per game” and “8 yards per carry” aren't two scores on the same scale. You can compare players within either measure, but you can't compare 80 directly with 8.

2
WORKED EXAMPLE

Change the bottom number. Change the question.

Runner A has 80 rushing yards on 10 carries. Divide 80 by 10 and you get 8 yards per carry. Runner B has the same 80 yards on 20 carries, so 80 divided by 20 gives 4.

The total is equal; the average gain on a carry is different. That is all the example establishes. A's average could reflect several long runs, while B's could reflect many steady gains. The average doesn't show the individual runs.

Don't translate this into a promise about the next game. Ten carries at an observed eight yards per carry doesn't mean every future carry is worth eight yards. The opponent, situations and individual gains can all change.

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Runner A: follow the calculation

Rushing yards

The total gain across the game

80
Rush attempts

All ten carries

10
Yards per carry8.0

80 ÷ 10 = 8

Invented single-game rushing line. Every carry, including a loss or no gain, counts.
3
THE EASY TRAP

Add the yards and carries before dividing.

Now follow Runner A across two games. The first has 80 yards on 10 carries. The second has 20 yards on 10 carries. Together that's 100 yards on 20 carries: 5 yards per carry, and 50 yards per game.

If the carry counts were different, giving each game's rate equal weight could mislead you. A two-carry game shouldn't influence a pooled per-carry rate as much as a twenty-carry game just because both occupy one row.

Keep player appearances visible too. A player who missed a team game didn't necessarily record a zero-yard performance. Check whether a displayed average counts games they played or all team games.

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Combine the observations first

01Game 180 / 10

Yards / carries

02Game 220 / 10

Yards / carries

03Pooled rate100 / 20

5 yards per carry

Invented two-game example. Both games are player appearances.

A rate needs the total output and the total number of opportunities.

4
PUT IT TO USE

Use workload and efficiency together.

When reading a player report, start with three pieces: how often they played, how many opportunities they received, and what they produced. A strong rate on a tiny workload is interesting, but it tells a different story from the same rate over sustained volume.

The opportunity has to match the statistic. Receiving yards per target and receiving yards per catch answer different questions, because an incomplete target doesn't become a catch. Baseball hits per at-bat also differ from hits per plate appearance.

A clear takeaway might be: “Both runners had 80 yards, but A did it on ten carries and B on twenty.” That's more useful than choosing the larger-looking number without reading its unit.

Sources and further reading