Aventia APL

Average Party Level (APL) is a system used by Aventia for calculating the party level.

Currently we are using method 2:

Method 2: For characters called, A, B, C, D and E (with a count of n)

((A^2 + B^2 + C^2 + D^2 + E^2)/n)^(1/2)

If A = 300, B = 200, C = 100, D = 50, E = 5 then:

Old/Normal average calc = (300+200+100+50+5)/5 = 655/5 = 131

New/Weighted version = ((300^2 + 200^2 + 100^2 + 50^2 + 5^2)/5)^(1/2)

= ((90000 + 40000 + 10000 + 2500 + 25)/5)^(1/2)

= ((142525)/5)^(1/2) = (28505)^(1/2)

= 168.82

If A = 300, B = 5, C = 5, D = 5, E = 5 then:

Old/Normal average calc = (300+5+5+5+5)/5 = 320/5 = 64

New/Weighted version = ((300^2 + 5^2 + 5^2 + 5^2 + 5^2)/5)^(1/2)

= ((90000 + 25 + 25 + 25 + 25)/5) ^ (1/2)

= ((90100/5)^(1/2)

= (18020)^(1/2)

= 134.23

Read more: http://aventia3.freeforums.net/thread/18/average-party-level-quadratic#ixzz38nQtP6fH