Monk vs Barbarian DPR calculations

A few notes:
- Builds that contain Barbarian Levels show both with and without Advantage from Reckless Attack feature
- The Barb3/Monk2 Builds have 16 strength and therefore a Strength modifier of +3
  The Barb5 and Monk5 Builds have a Strength (or Dexterity) of 18, and therefore have a modifier of +4

Quick stats:
- Barbarian 5: +7 to hit, 2d6+6 damage (Greatsword, +4 Strength, +2 Rage), 3 total attacks (2 from Extra Attack, 1 from Frenzy Bonus Action)
  - No point using the quarterstaff, since a pure Barbarian Build doesn't care.
- Barbarian 3/Monk2: +6 to hit, 1d8+5 damage (Quarterstaff Versatile, +3 Strength, +2 Rage), 1 OR 2 attacks depending on Houserule
  - +6 to hit, 1d4+5 damage (Unarmed Strike, +3 Strength, +2 Rage), 2 attacks (Flurry of Blows)
- Monk 5: +7 to hit, 1d8+4 damage (Quarterstaff Versatile, +4 Dexterity, +2 Rage), 2 attacks
  - +7 to hit, 1d6+4 damage (Unarmed Strike, +4 Dexterity), 2 attacks (Flurry of Blows)
  
Average Estimated DPR of each Build against various opposing Armor Class creatures:
╔══════════════════════════════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╗
║                             Name │   AC 0 │  AC 11 │  AC 13 │  AC 15 │  AC 17 │  AC 20 │  AC 25 ║
╟──────────────────────────────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────╢
║                   Barbarian 5 x3 │ 40.950 │ 40.170 │ 38.610 │ 36.270 │ 33.150 │ 27.008 │ 12.870 ║
║             Barbarian 5 NOADV x3 │ 38.100 │ 34.200 │ 30.300 │ 26.400 │ 22.500 │ 16.650 │  6.900 ║
║       Barb3/Monk2 x2 + Flurry x2 │ 35.280 │ 34.005 │ 32.305 │ 29.925 │ 26.865 │ 21.000 │  7.825 ║
║ Barb3/Monk2 NOADV x2 + Flurry x2 │ 33.000 │ 27.900 │ 24.500 │ 21.100 │ 17.700 │ 12.600 │  4.100 ║
║       Barb3/Monk2 x1 + Flurry x2 │ 25.365 │ 24.446 │ 23.221 │ 21.506 │ 19.301 │ 15.075 │  5.581 ║
║ Barb3/Monk2 NOADV x1 + Flurry x2 │ 23.750 │ 20.075 │ 17.625 │ 15.175 │ 12.725 │  9.050 │  2.925 ║
║            Monk 5 x2 + Flurry x2 │ 31.200 │ 28.000 │ 24.800 │ 21.600 │ 18.400 │ 13.600 │  5.600 ║
╚══════════════════════════════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╝

LaTEX formatting of same:
\begin{array}{|l|r|r|r|r|r|r|r|}
\hline
\text{Name} & \text{AC 0} & \text{AC 11} & \text{AC 13} & \text{AC 15} & \text{AC 17} & \text{AC 20} & \text{AC 25}\\ \hline
\text{Barbarian 5 x3} & 40.950 & 40.170 & 38.610 & 36.270 & 33.150 & 27.008 & 12.870\\ \hline
\text{Barbarian 5 NOADV x3} & 38.100 & 34.200 & 30.300 & 26.400 & 22.500 & 16.650 & 6.900\\ \hline
\text{Barb3/Monk2 x2 + Flurry x2} & 35.280 & 34.005 & 32.305 & 29.925 & 26.865 & 21.000 & 7.825\\ \hline
\text{Barb3/Monk2 NOADV x2 + Flurry x2} & 33.000 & 27.900 & 24.500 & 21.100 & 17.700 & 12.600 & 4.100\\ \hline
\text{Barb3/Monk2 x1 + Flurry x2} & 25.365 & 24.446 & 23.221 & 21.506 & 19.301 & 15.075 & 5.581\\ \hline
\text{Barb3/Monk2 NOADV x1 + Flurry x2} & 23.750 & 20.075 & 17.625 & 15.175 & 12.725 & 9.050 & 2.925\\ \hline
\text{Monk 5 x2 + Flurry x2} & 31.200 & 28.000 & 24.800 & 21.600 & 18.400 & 13.600 & 5.600\\ \hline
\end{array}