Rounding in Basketball Shooting Percentages: Why Box Scores Can Look Slightly Different

A shooting percentage is a ratio presented in a compact form. Field-goal percentage divides made field goals by attempted field goals and multiplies the result by 100. The calculation is simple, but the display can hide some of the precision. Two box scores can therefore show slightly different-looking figures without disagreeing about how many shots were made or attempted.

Fractions do not always end neatly

Consider a hypothetical player who makes one of three attempts. The exact fraction is one third. Written as a percentage, it continues as 33.3333 percent rather than ending after one decimal place. A display rounded to one decimal place shows 33.3 percent. A whole-number display could show 33 percent. Neither display changes the original one make and three attempts.

For a second hypothetical example, two makes in three attempts give 66.6666 percent continuing indefinitely. Ordinary rounding to one decimal place gives 66.7 percent. A service using a different number of decimal places can display a different final digit. Do not assume every provider follows identical rounding, truncation or formatting conventions; check its definitions when the distinction matters.

Calculate team percentages from the shot counts

A team percentage should be calculated from the combined makes and attempts, not by taking an unweighted average of the players’ displayed percentages. The number of attempts determines each player’s contribution to the team calculation. A player taking one shot should not have the same mathematical weight as a player taking ten shots merely because both occupy one row in the table.

Here is a deliberately small hypothetical example. Player A makes one of two attempts, or 50 percent. Player B makes three of four, or 75 percent. Together they make four of six. The team percentage is therefore about 66.7 percent when rounded to one decimal place. Averaging 50 and 75 gives 62.5 percent, which is not the combined shooting percentage because the attempt totals are unequal.

Displayed numbers are not the original data

If you need to reproduce a percentage, start with the integer makes and attempts whenever those counts are available. Reconstructing a total from rounded player percentages introduces avoidable uncertainty. Several different underlying fractions can round to the same displayed value, so a displayed percentage by itself does not uniquely identify the original shooting line.

The same caution applies to comparisons over several games. Combine the makes and attempts across the selected games, then calculate the percentage. An ordinary average of daily percentages gives every game equal weight even when the number of attempts changes. That can answer a different question, but it should not be labeled as the overall shooting percentage without explaining the method.

Check categories before suspecting an error

Field-goal percentage, three-point percentage and free-throw percentage use different shot categories. Effective field-goal percentage is another calculation that accounts for the additional point on a made three. Similar-looking percentage columns are not interchangeable. Confirm the category, the selected games and the shot counts before treating a difference as a rounding problem.

For NBA and PBA scoreboard context alongside basketball explainers, see Kadario. Keep the practical rule simple: compare the underlying counts first, use the same formula, and round only for presentation. A one-digit display difference deserves a formatting check before it becomes a claim that the statistics are wrong.