My new iPhone won't allow me to connect to Wi-Fi?

So I just got an iPhone 5. I've connected it to Wi-Fi in both my home and my school, and I have 2GB of data. I just got a text saying that I've used up half of my data since yesterday, which is ridicules because well, I got it yesterday, and I should have been connected to Wi-Fi at all times. My phone won't stay connected to Wi-Fi for more than ten minutes or so. Would turning off my push notifications use less data?

The problem might not be your iPhone, but maybe the strength of the Wi-Fi network. If not, give Apple (or your carrier) a call and see if you can exchange it for a new model.

Wi-Fi doesn't have limited data. The data it's talking about is 3G.

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