There's a few technicalities to take in to consideration. I've struggled myself to get my iPhone 6 to connect stable to a Wireless N 5ghz connection, but lets remember this, yes Wireless N 5ghz is faster than Wireless G 2.4ghz, however the limitation is the fact that you lose frequency bandwidth, thus, the closer you are to the device emitting the 5ghz signal the higher chance of a connection.
I recently upgraded my entire home network, new router, gigabit ethernet cables and a Devolo PowerLine adapter. My router supports both 2.4ghz and 5ghz frequencies simultaneously, this means it will constantly switch to the best connection on the fly through a single gateway, but the problem I have is I wasn't sure when it switches all I knew was sometimes when upstairs (router is downstairs and Devolo is upstairs) my wifi would become sluggish. So I decided to give each frequency, Wireless G 2.4ghz router, Wireless N 5ghz router and Wireless G/N 2.4/5ghz Devolo, seperate SSIDs, I then understood what my iPhone connects to in which area of my house and what provides the strongest connection.
The Devolo can not transmit both frequencies at the same time, I had mine set to 5ghz, this is where my wifi was sluggish upstairs, it connected but wasn't strong, having tested all possible connections on all frequencies, it's evident that Wireless N for the most part struggles to provide a stable connection when at a distance from the main source, even with the Devolo relaying the frequency it wasn't enough.
Now, I have set the SSID of the Wireless G 2.4ghz router, Wireless N 5ghz router and Wireless G 2.4ghz Devolo to the same and set the channels on both devices to auto. What this now effectively gives me is multiple hotspots in my house that will switch between access points and frequencies to whatever the strongest signal is in that area without losing connectivity.
In conclusion, don't bother with Wireless N 5ghz on Apple devices, i'm not sure on this but I believe Apple devices are locked down to a Wireless N 5ghz (20mhz) channel width, meaning wireless G and N will only use the same channels available which causes traffic. Wireless N 5ghz (40mhz) channel width, on the other hand, should see a greater improvement in connection stability.
Hope this helps!