There is no correlation between Hero Damage and Tower Damage. Some has higher Hero Damage, some has higher Tower Damage. Objects are grouped into clusters (marked with different colors) based on close values of Hero Damage and Tower Damage.
Hero Damage Tower Damage
Ancient Apparition 525.87 19.37
Bane 400.56 22.83
Batrider 622.75 22.20
Bounty Hunter 473.49 33.21
Brewmaster 513.05 89.11
Centaur Warrunner 575.40 60.62
Chen 243.31 94.54
Clockwerk 579.04 20.96
Crystal Maiden 444.92 16.01
Dark Seer 620.82 30.96
Dark Willow 556.03 41.75
Dawnbreaker 586.96 56.91
Dazzle 281.68 18.67
Disruptor 352.44 11.31
Doom 552.99 34.36
Earth Spirit 466.56 18.76
Earthshaker 613.49 43.37
Elder Titan 589.15 48.81
Enchantress 541.59 62.21
Enigma 537.11 43.93
Grimstroke 431.15 17.54
Hoodwink 548.93 33.12
Io 190.27 33.57
Jakiro 535.71 63.28
Keeper of the Light 473.48 14.83
Lich 475.30 14.22
Lion 339.97 12.20
Magnus 511.39 81.81
Marci 529.96 81.62
Mars 528.04 45.70
Mirana 447.88 47.77
Night Stalker 498.82 88.27
Nyx Assassin 680.41 21.15
Ogre Magi 576.06 40.46
Omniknight 519.64 60.04
Oracle 324.20 13.02
Phoenix 580.95 29.03
Primal Beast 567.65 36.81
Pudge 534.94 25.82
Rubick 504.10 15.08
Sand King 691.52 26.82
Shadow Demon 502.05 23.02
Shadow Shaman 401.23 82.66
Silencer 574.06 47.66
Skywrath Mage 647.12 20.66
Slardar 481.19 57.69
Snapfire 538.50 47.53
Spirit Breaker 528.36 30.79
Tidehunter 486.55 40.51
Treant Protector 376.54 36.25
Tusk 499.34 31.33
Undying 384.11 25.80
Vengeful Spirit 384.86 25.26
Warlock 530.58 67.61
Winter Wyvern 582.33 50.74
Witch Doctor 601.64 15.26
Hero Damage Tower Damage
Abaddon 578.51 137.16
Alchemist 673.97 130.37
Axe 784.58 39.94
Beastmaster 611.35 94.63
Bloodseeker 773.94 111.73
Bristleback 872.21 79.89
Chaos Knight 669.36 125.44
Death Prophet 669.08 90.43
Dragon Knight 559.67 118.23
Ember Spirit 932.55 67.80
Faceless Void 582.94 106.01
Gyrocopter 664.21 48.79
Huskar 747.98 123.02
Invoker 666.54 97.96
Kunkka 656.06 69.20
Leshrac 715.60 104.40
Lifestealer 645.64 147.03
Lina 579.98 92.61
Monkey King 736.91 114.40
Necrophos 833.01 45.41
Outworld Destroyer 794.57 111.90
Pangolier 686.77 51.68
Phantom Assassin 755.70 98.40
Puck 774.66 63.51
Pugna 677.93 95.19
Queen of Pain 845.25 75.77
Razor 744.42 71.71
Riki 695.85 58.09
Slark 622.04 130.27
Spectre 1004.57 86.95
Storm Spirit 712.64 71.61
Techies 755.53 40.16
Timbersaw 798.31 55.72
Tinker 1016.93 7.95
Tiny 590.69 89.54
Underlord 605.78 79.11
Ursa 773.61 91.58
Venomancer 676.61 36.33
Viper 749.93 92.06
Void Spirit 788.37 110.24
Windranger 691.54 111.42
Wraith King 685.53 142.27
Zeus 947.05 26.64
Hero Damage Tower Damage
Anti-Mage 589.48 163.65
Arc Warden 988.57 177.63
Broodmother 500.82 169.21
Clinkz 751.92 184.70
Drow Ranger 728.65 164.50
Juggernaut 721.96 168.61
Legion Commander 796.32 134.07
Lone Druid 508.06 311.94
Luna 677.20 177.72
Lycan 476.28 207.49
Medusa 853.13 175.67
Meepo 698.11 219.44
Morphling 672.35 185.86
Muerta 854.23 160.78
Naga Siren 631.56 183.52
Nature's Prophet 574.96 160.41
Phantom Lancer 717.22 153.65
Shadow Fiend 779.18 192.67
Sniper 858.25 130.33
Sven 736.62 163.95
Templar Assassin 749.91 155.75
Terrorblade 681.58 220.46
Troll Warlord 700.10 197.70
Visage 571.44 185.02
Weaver 742.32 144.88