New name for the average that speedcubers use?

[Tony Fisher]

No idea if this has been discussed before but I couldn't find it when searching. There are different types of averages in maths but the main 3 are these-
Mean - Add the numbers together and divide by the amount of numbers.
Mode - The most common occurring number.
Median - The middle number when they are arranged arithmetically.
In speedcubing of course there's a different type of average used and presumably it was devised solely for speedcubing. But shouldn't it have a name? Cubers Average? Rubik's Average? Speedcubers Average? I guess that could be confusing when some WCA events (I believe) use mean average. So maybe another name?

 

[1x1 wr holder!]

No idea if this has been discussed before but I couldn't find it when searching. There are different types of averages in maths but the main 3 are these-
Mean - Add the numbers together and divide by the amount of numbers.
Mode - The most common occurring number.
Median - The middle number when they are arranged arithmetically.
In speedcubing of course there's a different type of average used and presumably it was devised solely for speedcubing. But shouldn't it have a name? Cubers Average? Rubik's Average? Speedcubers Average? I guess that could be confusing when some WCA events (I believe) use mean average. So maybe another name?

I wonder this all the time especially when I first learned what an average was. Taking out the best and worst time and taking the mean of the middle three isn't exactly and average of 5. The correct way of describing the Ao5 is Truncated or Trimmed Mean.

 

[An Animating Cuber]

I wonder this all the time especially when I first learned what an average was. Taking out the best and worst time and taking the mean of the middle three isn't exactly and average of 5. The correct way of describing the Ao5 is Truncated or Trimmed Mean.

Its also been called an Olympic Mean

 

[qwr]

I wonder this all the time especially when I first learned what an average was. Taking out the best and worst time and taking the mean of the middle three isn't exactly and average of 5. The correct way of describing the Ao5 is Truncated or Trimmed Mean.

Its also been called an Olympic Mean

I like these both. An even more technical term might be Interquartile Mean, which means getting rid of the lowest and highest quartiles, in this case lowest and highest singles. More precisely for n=5 it's actually the lowest quintiles at 20% and 80%. For ao12 it's quantiles at 8.3% and 91.6%, but if we used IQM it would be discarding the fastest and slowest 3 solves.


Apparently there's also Tukey's https://en.wikipedia.org/wiki/Trimean which is (Q1 + 2*Q2 + Q3) / 4 and https://en.wikipedia.org/wiki/Midhinge (Q1 + Q3)/2, like median but making use of the quartiles.

I found this when looking up Ao12

https://emerginginvestigators.org/articles/21-189/pdf#:~:text=AoX%20refers%20to%20an%20average,times%20are%20removed%20(23).