Also a winter tyre once the temperatures are under 6 degrees regularly will grip far better, as a summer tyre will go really hard and not get up to the correct temperature - winter tyres aren't just better for snow grip, they'll give more grip in colder weather generally.
A winter tyre due to it being softer tends not to give as good a handling, and can be a little noisier, they also tend to have lower speed ratings. This is normal, and the sacrifice you make for being able to drive in snow and chuckle at people who are stuck in their X5s on sports tyres