There is no correlation between Hero Damage and Tower Damage and there are no clusters. The values are standardized.
Hero Damage Tower Damage
Abaddon -1.073482 0.030919
Alchemist -0.125509 0.422029
Ancient Apparition -0.681879 -1.087931
Anti-Mage -0.225403 1.467903
Arc Warden 2.027890 1.271675
Axe 0.921528 -0.789807
Bane -1.367486 -0.943998
Batrider -0.780370 -1.134508
Beastmaster -0.112687 0.200915
Bloodseeker 0.683339 0.304158
Bounty Hunter -0.768186 -0.865137
Brewmaster -0.292956 0.456499
Bristleback 1.951980 -0.092333
Broodmother -0.494785 1.801675
Centaur Warrunner 0.110511 -0.274941
Chaos Knight 0.445788 0.899398
Chen -2.144376 0.095823
Clinkz 0.635688 1.376935
Clockwerk -0.254746 -1.063886
Crystal Maiden -1.386687 -1.143588
Dark Seer -0.234716 -0.932564
Dark Willow -0.414411 -0.657811
Dawnbreaker -0.025360 -0.343545
Dazzle -1.871294 -0.992088
Death Prophet 0.386081 0.173339
Disruptor -1.768402 -1.237414
Doom -0.587535 -0.873880
Dragon Knight -0.274074 0.834830
Drow Ranger 0.578533 1.300260
Earth Spirit -0.502057 -1.017142
Earthshaker 0.170920 -0.533214
Elder Titan -0.371544 -0.651926
Ember Spirit 1.548449 -0.382387
Enchantress -0.617962 -0.388104
Enigma -0.270949 -0.704893
Faceless Void -0.241031 0.440189
Grimstroke -1.402507 -1.130977
Gyrocopter 1.804563 1.641767
Hoodwink -0.420471 -0.842941
Huskar 0.799882 0.706029
Invoker 0.326310 -0.007419
Io -2.750183 -0.816542
Jakiro -0.551111 -0.333120
Juggernaut 0.560545 1.325651
Keeper of the Light -0.562593 -1.121393
Kunkka 0.416253 -0.285702
Legion Commander 0.892504 0.480039
Leshrac 0.858696 0.481048
Lich -0.908331 -1.185793
Lifestealer 0.107194 1.089068
Lina 0.845874 0.201756
Lion -1.856941 -1.219591
Lone Druid -0.388831 3.412859
Luna 0.367136 1.673883
Lycan -0.868590 1.912652
Magnus -1.420559 -0.732132
Marci -1.343821 -0.344217
Mars -0.581283 -0.649068
Medusa 0.587017 0.875857
Meepo 0.140811 1.805710
Mirana -1.330935 -0.728938
Monkey King 0.583636 0.388736
Morphling 0.482467 1.973353
Muerta 1.625826 1.328845
Naga Siren -0.132972 1.557525
Nature's Prophet 0.388377 0.689551
Necrophos 1.671052 -0.600305
Night Stalker -0.589002 0.206464
Nyx Assassin 0.354888 -1.068931
Ogre Magi -0.347560 -0.790479
Omniknight -0.859086 -0.509506
Oracle -1.973995 -1.199245
Outworld Destroyer 1.224591 0.447083
Pangolier 0.437814 -0.459398
Phantom Assassin 1.514960 0.583282
Phantom Lancer 1.006878 0.966657
Phoenix -0.372246 -0.911545
Primal Beast 0.329819 -0.654280
Puck 0.903731 -0.252409
Pudge -0.625617 -1.001840
Pugna 0.451975 0.133825
Queen of Pain 1.253360 -0.133697
Razor 1.146896 0.349557
Riki 0.750190 -0.297641
Rubick -0.844669 -1.163766
Sand King 0.491780 -0.896748
Shadow Demon -0.917581 -1.058842
Shadow Fiend 1.033542 1.945440
Shadow Shaman -1.367423 0.059504
Silencer -0.484834 -0.626704
Skywrath Mage -0.052534 -1.130809
Slardar -0.443818 -0.254090
Slark -0.100185 0.692577
Snapfire -0.503205 -0.579455
Sniper 1.704287 0.949338
Spectre 2.085683 0.192004
Spirit Breaker -0.724682 -0.905996
Storm Spirit 0.330329 -0.255099
Sven 0.737751 1.537684
Techies 0.781830 -0.877411
Templar Assassin 0.826993 1.302614
Terrorblade 0.281849 2.201528
Tidehunter -0.876755 -0.282507
Timbersaw 0.555761 -0.610562
Tinker 2.253066 -1.283150
Tiny -0.378689 0.082540
Treant Protector -1.530149 -0.821082
Troll Warlord 0.782531 2.426677
Tusk -0.838099 -0.884810
Underlord -0.308074 -0.256108
Undying -1.586347 -1.022690
Ursa 0.991186 0.166109
Vengeful Spirit -1.529511 -0.938112
Venomancer 0.271707 -0.813516
Viper 0.907686 0.325176
Visage -0.311072 1.757452
Void Spirit 0.518954 0.114488
Warlock 0.077596 -0.180274
Weaver 0.758228 1.059474
Windranger -0.185726 -0.013304
Winter Wyvern -0.959873 -0.941980
Witch Doctor 0.309470 -1.157881
Wraith King 0.497521 1.240568
Zeus 2.626042 -1.017814