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originally posted in: If you have a 1.0 kdr...
Edited by ScientificBEST: 1/16/2016 1:49:56 AM
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[b]Wrong! Wrong! Wrong! :)[/b] You're not considering the fact that a K/D ratio above 1.0 influences the average more than a K/D below 1.0. For illustration, let's say there is a 2-player match, 1v1. Player A kills Player B 10 times and Player B kills Player A 5 times. [b]Player A finishes with a K/D of 2.0, while Player B has a K/D of 0.5. Now let's take the average:[/b] [b](2.0 + 0.5) / 2 = 1.25[/b] [b]As you can see, a high K/D tends to skew the average more than a low K/D.[/b] Why? Because the K/D score is based around 1.0, and is expressed as a fraction. The upper bound of a fraction is infinity, while the lower bound is 0. Naturally the numerator (kills) is going to be more influential then the denominator (deaths). [b]OP is incorrect when he says the overall average is 1.0. Higher K/Ds skew the average more than low K/Ds, because the K/D is expressed as a fraction. Kills influence the K/D value more than deaths. Therefore, the actual average K/D of the Destiny community is probably closer to 1.15 if I had to guess.[/b] [Edit] I'm not positive, but I think if you take the inverse of K/D, which is D/K (deaths over kills), and take the average of those two numbers, it comes out to 1.0 exactly. So: (K/D - D/K) / 2 = 1.0 [Edit 2:] Turns out my math is wrong in the first edit. You get 1.0 if you [i]multiply[/i] K/D and D/K together. But that is just a mathematical truism so it's not super helpful. The point is that the "average K/D of all players" is not derived from the global tally of kills/deaths. It is derived from the individual K/Ds of each player. So given what I've said above, you can't say that an average K/D is 1.0. That's decidedly below average.
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