Is it winter or spring?

So at the end of last week it was nice and warm. We went for walks and played outside. Monday I had to pull out the winter coats from the closet again. It's been in the 30s every morning this week. Then I hear it's supposed to snow later! Why can't it warm up and stay warm? Here's what they're saying for the rest of the week:

Wednesday: cloudy high 51, low 32
Thursday: rain/storms high 45, low 36
Friday: rain/snow high 38, low 33
Saturday: snow high 40, low 30
Sunday: sunny high 46, low 28

Does that seem like spring or winter? Hopefully next week it will start to warm up.