NFL Quarterback Passer Rating

The formula for the National Football League (NFL) quarterback passer rating depends on five variables: number of attempted passes, completed passes, passing yards, touchdown passes, and interceptions. Passer ratings can range from a low score of 0.0 to a high score of 158.3. You input values for each statistic to create a score. The Demonstration visually maps the result in a three-dimensional graph to help you better understand the relationship of each variable to the final result.
The sliders are set for values that may occur within a single game. You can open each and directly input higher values to reflect data added over many games. A few NFL records are bookmarked along with one example of a perfect game.
  • Contributed by: Abby Brown
  • Suggested by: Dan McLellan


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Formula for NFL Passer Rating from
Snapshot 1: graph adjusts for extreme cases
Snapshot 2: Steve Young holds the record for career high passer rating (bookmarked)
Snapshot 3: example 158.3 game (Dan Fouts in 1976, one of 34 quarterbacks with perfect ratings as of 2007 season)
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Related Curriculum Standards

US Common Core State Standards, Mathematics