At sea level water boils at 100 degrees Celsius while methane boils at negative 161 degrees Celsius Which has a stronger attraction between particles?

Water, because water exhibits 'hydrogen bonding' . So more energy /heat is required to break the hydrogen bonds for liquid water to become a vapour/gas.

Methane does NOT have hydrogen bonds.

In water molecules , the oxygen atoms bonds directly to two hydrogen atoms, leaving two sets of lone pairs of electrons. Oxygen is also a very electronegative element and so attracts electron denuded regions of other molecules towards itself. So the hydrogen atoms of an adjacent molecule will be denuded of electrons , so the lone pair of electrons on an oxygen atom will be attracted to this denuded region on an adjacent hydrogen in another molecule. This is called ' hydrogen bonding'.