Menu
News
All News
Dungeons & Dragons
Level Up: Advanced 5th Edition
Pathfinder
Starfinder
Warhammer
2d20 System
Year Zero Engine
Industry News
Reviews
Dragon Reflections
Columns
Weekly Digests
Weekly News Digest
Freebies, Sales & Bundles
RPG Print News
RPG Crowdfunding News
Game Content
ENterplanetary DimENsions
Mythological Figures
Opinion
Worlds of Design
Peregrine's Next
RPG Evolution
Other Columns
From the Freelancing Frontline
Monster ENcyclopedia
WotC/TSR Alumni Look Back
4 Hours w/RSD (Ryan Dancey)
The Road to 3E (Jonathan Tweet)
Greenwood's Realms (Ed Greenwood)
Drawmij's TSR (Jim Ward)
Community
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Resources
Wiki
Pages
Latest activity
Media
New media
New comments
Search media
Downloads
Latest reviews
Search resources
EN Publishing
Store
EN5ider
Adventures in ZEITGEIST
Awfully Cheerful Engine
What's OLD is NEW
Judge Dredd & The Worlds Of 2000AD
War of the Burning Sky
Level Up: Advanced 5E
Events & Releases
Upcoming Events
Private Events
Featured Events
Socials!
Twitch
YouTube
Facebook (EN Publishing)
Facebook (EN World)
Twitter
Instagram
TikTok
Podcast
Features
Top 5 RPGs Compiled Charts 2004-Present
Adventure Game Industry Market Research Summary (RPGs) V1.0
Ryan Dancey: Acquiring TSR
Q&A With Gary Gygax
D&D Rules FAQs
TSR, WotC, & Paizo: A Comparative History
D&D Pronunciation Guide
Million Dollar TTRPG Kickstarters
Tabletop RPG Podcast Hall of Fame
Eric Noah's Unofficial D&D 3rd Edition News
D&D in the Mainstream
D&D & RPG History
About Morrus
Log in
Register
What's new
Search
Search
Search titles only
By:
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Menu
Log in
Register
Install the app
Install
Community
General Tabletop Discussion
*Dungeons & Dragons
Introducing the COUNTDOWN DICE Mechanic!
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Reply to thread
Message
<blockquote data-quote="Dausuul" data-source="post: 8928821" data-attributes="member: 58197"><p>Here's the average number of rounds and standard deviation for dice pools from 1 to 10:</p><p></p><table style='width: 100%'><tr><td>DICE</td><td>AVG (MEAN) TIME</td><td>MEDIAN TIME</td><td>STD DEV</td></tr><tr><td>1</td><td>6.00</td><td>4.00</td><td>5.46</td></tr><tr><td>2</td><td>8.73</td><td>7.00</td><td>6.13</td></tr><tr><td>3</td><td>10.56</td><td>9.00</td><td>6.39</td></tr><tr><td>4</td><td>11.93</td><td>11.00</td><td>6.54</td></tr><tr><td>5</td><td>13.02</td><td>12.00</td><td>6.63</td></tr><tr><td>6</td><td>13.94</td><td>13.00</td><td>6.69</td></tr><tr><td>7</td><td>14.72</td><td>13.00</td><td>6.74</td></tr><tr><td>8</td><td>15.41</td><td>14.00</td><td>6.77</td></tr><tr><td>9</td><td>16.02</td><td>15.00</td><td>6.80</td></tr><tr><td>10</td><td>16.56</td><td>15.00</td><td>6.82</td></tr></table><p></p><p>Note that the standard deviation is <em>very</em> high, indicating a very wide spread. If you use this mechanic, be prepared for a lot of variation in your results.</p><p></p><p><em>Edit: I realized that median time is more useful than the mean here, so I added a column for that.</em></p><p><em></em></p><p><em>If you don't know what the difference is: "Mean" is "add up all your results, then divide by the number of trials." "Median" is "sort all your results from highest to lowest, then pick the one in the middle."</em></p><p><em></em></p><p><em>In other words: If you grab 100 people off the street and put them in a room with Jeff Bezos, the <strong>mean</strong> (average) wealth of the people in that room is over $1 billion. But the <strong>median</strong> wealth is that of person-off-the-street #51.</em></p><p><em></em></p><p><em>Since it can't be skewed by a handful of outliers, median generally gives you a better picture of the typical case. You'll note, for instance, that the 1-die pool has a mean duration of 6 rounds but a median of only 4 -- that's because of a handful of cases where the duration goes super long, pushing the average up.</em></p></blockquote><p></p>
[QUOTE="Dausuul, post: 8928821, member: 58197"] Here's the average number of rounds and standard deviation for dice pools from 1 to 10: [TABLE] [TR] [TD]DICE[/TD] [TD]AVG (MEAN) TIME[/TD] [TD]MEDIAN TIME[/TD] [TD]STD DEV[/TD] [/TR] [TR] [TD]1[/TD] [TD]6.00[/TD] [TD]4.00[/TD] [TD]5.46[/TD] [/TR] [TR] [TD]2[/TD] [TD]8.73[/TD] [TD]7.00[/TD] [TD]6.13[/TD] [/TR] [TR] [TD]3[/TD] [TD]10.56[/TD] [TD]9.00[/TD] [TD]6.39[/TD] [/TR] [TR] [TD]4[/TD] [TD]11.93[/TD] [TD]11.00[/TD] [TD]6.54[/TD] [/TR] [TR] [TD]5[/TD] [TD]13.02[/TD] [TD]12.00[/TD] [TD]6.63[/TD] [/TR] [TR] [TD]6[/TD] [TD]13.94[/TD] [TD]13.00[/TD] [TD]6.69[/TD] [/TR] [TR] [TD]7[/TD] [TD]14.72[/TD] [TD]13.00[/TD] [TD]6.74[/TD] [/TR] [TR] [TD]8[/TD] [TD]15.41[/TD] [TD]14.00[/TD] [TD]6.77[/TD] [/TR] [TR] [TD]9[/TD] [TD]16.02[/TD] [TD]15.00[/TD] [TD]6.80[/TD] [/TR] [TR] [TD]10[/TD] [TD]16.56[/TD] [TD]15.00[/TD] [TD]6.82[/TD] [/TR] [/TABLE] Note that the standard deviation is [I]very[/I] high, indicating a very wide spread. If you use this mechanic, be prepared for a lot of variation in your results. [I]Edit: I realized that median time is more useful than the mean here, so I added a column for that. If you don't know what the difference is: "Mean" is "add up all your results, then divide by the number of trials." "Median" is "sort all your results from highest to lowest, then pick the one in the middle." In other words: If you grab 100 people off the street and put them in a room with Jeff Bezos, the [B]mean[/B] (average) wealth of the people in that room is over $1 billion. But the [B]median[/B] wealth is that of person-off-the-street #51. Since it can't be skewed by a handful of outliers, median generally gives you a better picture of the typical case. You'll note, for instance, that the 1-die pool has a mean duration of 6 rounds but a median of only 4 -- that's because of a handful of cases where the duration goes super long, pushing the average up.[/I] [/QUOTE]
Insert quotes…
Verification
Post reply
Community
General Tabletop Discussion
*Dungeons & Dragons
Introducing the COUNTDOWN DICE Mechanic!
Top