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The 5E rules have 2 official variations: Max at first and rolled after (PHB 12 & 15) Max at first, and average rounded up thereafter. (PHB 15) Note that average for a die is (minimum + maximum)/2. For all even dice, this ends in a half (a _.5).
The average of 11d8+22 is 71 (11*4.5 + 22 = 49.5 + 22 = 71.5, rounds down). Drow Commander. HD11d8+22. Hp. 110. The maximum of 11d8+22 is 110 (11*8 + 22 = 88 + 22 = 110). Note that the drow elite warrior and drow commander have the same HD, but the Elite Warrior has average hp and the drow commander has the maximum possible for its HD.
I think that die average is just a simple divide by 2. d4 average = 2; d6 average = 3; d8 average = 4; d10 average = 5; d12 average = 6; d20 average = 10; A greatsword does 2d6, so a average of 6 damage. Adding prof and str to the roll makes gives it a + 4 making a d20 roll between 5 and 24. Does this make a AC 15 with +4 the same as an AC 11 ...
\$\begingroup\$ @thedarkwanderer, your rule is only applicable to 2dX, though. unless you're shooting for a monster with an average of 5, 7, 9, 11, 13, or 21 HP, that rule isn't very useful for this. Besides, anybody who has a spreadsheet program could just make a spreadsheet for this and find the answer without doing the math themselves.
If a monster's damage output varies from round to round, calculate its damage output each round for the first three rounds of combat, and take the average. Four is based on empirical data at one specific table. The Bottom 25%, Mid 50% and Top 75% in contrast to this are the quartile averages from the Optimists' Guide to D&D 5E Damage by Class.
Each time you gain a level, you gain 1 additional Hit Die. Roll that Hit Die, add your Constitution modifier to the roll, and add the total (minimum of 1) to your hit point maximum. Alternatively, you can use the fixed value shown in your class entry, which is the average result of the die roll (rounded up).
I understand how the average roll works, but does that mean that a fighter with 5 HD (and a CON mod of +1) gets: (5.5 + CON mod) x 5 hit points for a total of 32; Or does she get. 10 HP + CON mod at level 1 and then (5.5 + CON mod) x 4 because of the other 4 HD for a total of 37
NPCs do not have a maximum hit point value. The maximum hit point value is the same value as the current hit points that you determined, when the NPC appeared (In our example, this would be whatever I get out of the 5d8+5, so for example 26). The maximum hit point value is the maximum possible value, that the NPC could have according to its hit ...
Alternately, if you wanted a tighter range of arrays, the players could roll 1d12+4, 1d10+5, 1d8+6, or 1d6+7 Players who get the 'lower' stats have a higher average bonus, making them more jack of all trades types, while players with a few high stats have a lower average.
There is no such thing as an “average level 20 character”. Design it based on your actual party. There is simply no way to answer this question with an actual average. Any average given will be an average of some number of actual characters.