Ohm v2, 16 bytes
²Σ½¬³Π¬³Σ½D³Πs/Σ
Explanation
square sum halve sqrt input product sqrt input sum halve dupe input product swap div sum
...if Ohm had a verbose mode of sorts. :P
²Σ½¬³Π¬³Σ½D³Πs/Σ
implicit input [[7, 6]]
²Σ½¬ root mean square
² square [[49, 36]]
Σ sum [85]
½ halve [42.5]
¬ square root [6.519]
³Π¬ geometric mean
³ push first input [6.519, [7, 6]]
Π product [6.519, 42]
¬ square root [6.519, 6.481]
³Σ½ arithmetic mean
³ push first input [6.519, 6.481, [7, 6]]
Σ sum [6.519, 6.481, 13]
½ halve [6.519, 6.481, 6.500]
D³Πs/ harmonic mean
D duplicate [6.519, 6.481, 6.500, 6.500]
³ push first input [6.519, 6.481, 6.500, 6.500, [7, 6]]
Π product [6.519, 6.481, 6.500, 6.500, 42]
s swap [6.519, 6.481, 6.500, 42, 6.500]
/ divide [6.519, 6.481, 6.500, 6.461]
Σ sum [25.961]
implicit output [25.961]