That 14.63 Mbps is distributed between all the devices on your network. If you can try turning off all the other devices then try your videos again. You might also try a video feed from another source than Youtube and see if it works better. Also, remove the power from your Chromecast dongle and your router for about 10 seconds, then plug them back in.
You can install a wifi analyzer on your phone and hold your phone next to where your chromecast is plugged into your TV. This will give you an idea about how strong the signal is where your chromecast is. Also you may want to upgrade your router to a AC 5GHz router. I upgraded my router and my chromecast never had any network problems after that.
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