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Calculators and Calculations
Home›Calculators and Calculations›How quarterback rating is calculated

How quarterback rating is calculated

By Matthew Lynch
September 28, 2023
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In the world of American football, the success of a team often hinges on the performance of its quarterback. The quarterback rating (QBR), otherwise known as passer rating, is a statistic that evaluates the efficiency and effectiveness of quarterbacks in the National Football League (NFL) and other professional leagues. But how is it calculated? In this article, we will delve deep into the methodology behind calculating quarterback ratings.

Introduced in 1971, the NFL quarterback rating system is a complex formula devised to synthesize four essential aspects of quarterback play into a single number. These aspects include completion percentage, passing yards per attempt, touchdown pass percentage, and interception percentage.

To calculate a quarterback’s passer rating, we need to consider each aspect individually and follow these steps:

1. Completion Percentage

First, divide the total number of completed passes by the total number of pass attempts and then subtract 0.3. Multiply this result by 5.

Completion Percentage = ((Completed Passes / Pass Attempts) – 0.3) * 5

2. Yards Per Attempt

Divide the total number of passing yards by the total number of pass attempts, subtract 3, and multiply this outcome by 0.25.

Yards Per Attempt = ((Passing Yards / Pass Attempts) – 3) * 0.25

3. Touchdown Pass Percentage

Divide the total number of touchdown passes by the total number of pass attempts and multiply this result by 20.

Touchdown Pass Percentage = (Touchdown Passes / Pass Attempts) * 20

4. Interception Percentage

Subtract the total number of interceptions divided by total pass attempts from 0.095, then multiply this outcome by 25.

Interception Percentage = (0.095 – (Interceptions / Pass Attempts)) * 25

After determining each of these values, add them together and divide the sum by 6. Finally, multiply the result by 100 to obtain the quarterback’s passer rating:

Passer Rating = ((Completion Percentage + Yards Per Attempt + Touchdown Pass Percentage + Interception Percentage) / 6) * 100

The NFL passer rating ranges from 0 to 158.3. A 158.3 rating is considered perfect, while a rating of zero indicates abysmal quarterback performance.

It’s important to note that while the quarterback rating system offers a measurable way to evaluate a quarterback’s performance, it does not guarantee success on the field. External factors such as weather conditions, play calls, or teammates’ performances can all impact a quarterback’s numbers.

In conclusion, determining a quarterback’s passer rating offers valuable insight into their effectiveness in the game. By understanding how this metric is calculated, one can better appreciate the significance of individual performances and make informed evaluations of players across the league.

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