A Football Statistic I'd Like to See: Median Yards Per Rushing Attempt

CJ is a great back whom opposing defenses must always account for. But, despite what his statistics suggest, he isn't a back the Titans can count on to pick up four or five yards on first down or three tough yards on third down.
Johnson's yards-per-rush average is much better than that of Eddie George, one of CJ's predecessors in the Titans' backfield. While Eddie never put up 170 yards in a single game or broke off an 80-yard touchdown run, he was more likely than Johnson is now to rush for at least three yards on a given play.

But the median stat would not be a pure median. I would not include any rush of two yards or less in which the rusher picks up a first down. These plays are designed for short yards in specific situations and should not count against a back's stats. Also, rushes resulting in a touchdown would only figure into the median if they were to raise the median. When a team snaps the ball on its opponent's 1-yard line, a rusher can only pick up a single yard (and only a single yard is needed). This single yard shouldn't count against the rusher's median yards per rush. If a back with a median of 4 ran the ball into the end zone from the 3-yard line, this 3-yard rush would not figure into the median statistic. (A 5-yard rush resulting in a touchdown, however, would.)
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