DD8 is a cautious extrovert, and has been since the womb. She would get quite noticeably upset if someone she didn't know attempted to hold her, so we developed a rule, "Don't pick her up until she lets you know she's ready." When she decided the person was okay, she'd throw her arms up in the "pick me up" sign, and be just as friendly as could be.
This cautiousness before opening herself up is one way the casual observer might mistake her for being shy. The other way is that she is highly selective, valuing quality over quantity in her relationships. She'd be more likely to have two best friends for life than hang with a large crowd of superficial friends.
But she is, without a doubt, highly extroverted, because she is constantly demonstrating a craving to be with other people, and is highly energized in social situations.