It seems like there are a number of pieces of data that is hard to understand how to control privacy on.

How can I hide from the public:

  1. Relationship Status
  2. Profile Picture

If you have Timeline (which will become default in the near future):

For Relationship Status:

  1. Login to Facebook
  2. Go to your profile (Timeline)
  3. Click on About underneath your picture
    enter image description here
  4. Scroll down to Relationships and Family
  5. Click Edit
    enter image description here
  6. In the popup, click on the privacy icon on the right, next to Relationship status
    enter image description here
  7. Choose Only Me (or appropriate)
    enter image description here
  8. Click Save

The profile picture can't be hidden, it's public. Even if you hide the Profile Pictures album, the current profile picture remains visible.

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