Speedcubing Average Calculator (Ao5, Ao12, Mo3, DNF Rules & TPS)

How it works

Ao5 = mean of the 3 middle times after dropping the best and worst · Ao12 = mean of 10 after dropping best and worst · Mo3 = plain mean · 1 DNF = worst solve; 2 DNFs = DNF average · last solve for target T: x = 3T − (middle two of the other four), bounded by their best and worst · TPS = moves ÷ time

Speedcubers judge themselves by trimmed averages because single solves swing wildly with the scramble and a lucky skip or a pop: the average of five drops the best and the worst and means the middle three, the average of twelve drops one at each end, and a did-not-finish simply becomes the worst solve to be dropped — until a second one sinks the average. Those rules make "what do I need on the last solve" a small algebra problem, since the new time either lands among the counting solves or gets discarded at an end, and turns per second divides the move count by the time to show whether speed or efficiency is the next thing to train.

Worked example

The twelve times 12.85, 14.10, 11.97, DNF, 13.42, 12.20, 15.03, 12.66, 13.88, 11.54, 12.91, 14.55 give an Ao12 of 13.36 (the DNF and the 11.54 are dropped), an Ao5 over the last five of 13.15 and a Mo3 of 13.00; the best single is 11.54, the best rolling Ao5 12.91, and the session mean 13.19 with a 1.06 s standard deviation. To bring the next Ao5 down to 13.00 with 13.88, 11.54, 12.91 and 14.55 as the other four, the next solve must be 12.21 or better; a 12.50 Ao5 is impossible from here — even a 0.00 would leave 12.78.

Frequently asked questions