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"10 and 20 Sided Average Dice?" Topic


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David Manley24 Mar 2026 9:48 a.m. PST

Question as the title – has anyone come across 10 and 20 sided average dice? I've just been engaged in a wargaming event where such a thing would have been useful. Now I know I can roll 2d10 and take the average but having the "real thing" would be useful.

robert piepenbrink Supporting Member of TMP24 Mar 2026 10:05 a.m. PST

Not heard of such. Of course they could be ordered or constructed, but the numbers you'd want on the sides aren't obvious to me. Could you expand on this a little?

Shagnasty Supporting Member of TMP24 Mar 2026 10:07 a.m. PST

Never seen or heard of such and I've been gaming a few decades.

Micman Supporting Member of TMP24 Mar 2026 10:20 a.m. PST

Closest thing I have seen is the d10 in Formula De. But it is not an average die.

Col Durnford Supporting Member of TMP24 Mar 2026 10:54 a.m. PST

I'm with Robert on this. What are average dice?

It seems to me any die has the same chance of any given number coming up.

David Manley24 Mar 2026 11:01 a.m. PST

I thought the d6 average die was a pretty well known wargaming "thing"? But maybe it has become part of the arcane greybeard wargamers art that younger whippersnappers have not encountered :)

They are used where you want to reduce the degree of variation in a die throw the dAv has numbers 2,3,3,4,4,5 rather than the usual 1-6

VonBlucher24 Mar 2026 11:26 a.m. PST

We used 2 ten-sided die, and the #10 would count as 0 unless you rolled 2 – 10's and that would count as 100. you use 2 different colors one would be for 10 through 90 and the other 0 through 9. That's how we always worked it.

David Manley24 Mar 2026 12:03 p.m. PST

I've used that in the past as well, it calmed the nerves of some of my friends playing Fire and Fury when each side rolled opposites of the extremes :) The main reason for asking is that I'm involved in a project where the participants are a bit leery of dice in general and I'd like them not to have to do (even simple) maths when rolling 2 dice and taking the average :)

I've hunted high and low this afternoon and can't find any, I'll probably buy some blank dice and make my own

robert piepenbrink Supporting Member of TMP24 Mar 2026 12:41 p.m. PST

(Mounting irritation.) Yes, I know what d6 average dice are. And I still have a few. I think we had this conversation before.

But that doesn't tell me what numbers you'd want on a d10 or d20 average die. Do you want, say, 2,3,4,5,5,6,6,7,8,9 for a d10 aaverage or something else? Should a d20 Average be 2,3,4,5,6,7,8,9.9.10,10,11,12,14,15,16,17,18, or concnetrate more on the center of the distribution?

David Manley24 Mar 2026 1:33 p.m. PST

Thats what I'm asking, what would a d10av or a d20av that gave a similar effect as a d6av compared with a standard d6.

It probably wasn't me that you had this conversation with before, as I said it only just came up in a project I'm working on now

Personal logo etotheipi Sponsoring Member of TMP24 Mar 2026 2:38 p.m. PST

You need to specify what you mean by "similar effect".

Roling a 1 on a d6 is a 16 2/3% chance. On a d20, do you want to just eliminate the individual extremes? do you want to clip the 16% outlier (rougly 1, 2, and 3 on a d20)? the averaging d6 moves the average by about .1 of 3.5, or about 5%, so that? or do you want the standard deviation changed (roughly 13% decrease)?

10 and 20 are factorable by 5, 6 is not. 6 is factorable by 3, 10 and 20 are not. "Similar" is going to have some rough edges.

Dennis24 Mar 2026 2:53 p.m. PST

Robert, no need for the mounting irritation, unless there is something in the past between you and David; I take David's explanation of what an average dice is to be in response to Col Durnford's question ("What are average dice?") and not addressed to your, quite reasonable, request for what type of distribution of numbers David was looking for with 10 or 20-sided "average" dice.

David, I've never heard of the term "average dice" applied to anything other than a D6 with the 1s changed to 3s and the 6s changed to 4s, and a quick search (probably the same one you did before posting here) failed to yield any results for D10 or D20 "average" dice. The results I got to my search were mostly tables and formulas for calculating averages for various dice types.

But, I did find sources for blank D10s and D20s, so …you could buy some and write the numbers you want for your "average" distribution on the dice, or even print the numbers on adhesive paper. Of course you would still have to determine what numbers you want for your "average" distribution for a D10 or D20 (this is what, I think, Robert's replies were all about), but once you have determined roughly what you want by way of an "average" there are at least a few posters here who know enough math to help you refine what you generally are looking for.


Anyway, one source for blank D20s (you could use them for D10s also) is wondertrail at:

link

The web page claims the dice are made by chessex.

Amazon also has several sources for blank dice, but they come in complete sets of D4, etc and so you would be paying for dice you might not want.

Hope this helps….

Andrew Walters24 Mar 2026 5:22 p.m. PST

3D print something?

What would the numbering be on such a die?

I could create the STL file. 3D printed dice are not ideal, but it's still a possibility.

robert piepenbrink Supporting Member of TMP24 Mar 2026 5:25 p.m. PST

Thank you Dennis. Probably just me being cranky. I was "remembering" a previous discussion which appears not to have happened.

David, if you can articulate the effect you want in mathematical terms, someone here--probably eto--can see how close you can get. My first thought is taking off the two highest and two lowest numbers of a D10 and adding them to the middle--so 3,4,4,5,5,6,6,7,7,8--and the four extremes on the D20--so 5,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,16--would be close enough for government work. (Mind you, I've worked with people using artillery-fired nukes, MLRS units and MOPPs, so my notion of "close enough" may be somewhat distorted.)

TimePortal24 Mar 2026 6:03 p.m. PST

You can get blank polyhedral dice as well as d6

David Manley24 Mar 2026 9:50 p.m. PST

@Robert – that is exactly the kind of distribution that I am thinking of. I have blank dice on order, I'll give that a go.

My original question was really about whether such dice existed, whether there was an "industry standard"

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