I have used Bruno's idea to resize my TextView according to the amount of text, when I put it to the ScrollView. This is how I do this. A bunch of constants there, that you may not use. It is important to resize textView after adding it to the ScrollView.

    // Programmatic creation of scroll view layout 
NSString *text = @"Your text";
CGFloat textOffSetInColumn = 10;
CGFloat infoTextWidth = 196;
CGFloat infoOffsetVertical = 36;
CGFloat initialTextHeight = 50;

// Create textView with initial height
CGRect infoTextFrame = CGRectMake(textOffSetInColumn, infoOffsetVertical, infoTextWidth, initialTextHeight);
infoTextView = [[UITextView alloc] initWithFrame:infoTextFrame];
infoTextView.text = text;
[scrollView addSubview:infoTextView];

// Resize textView
CGFloat infoTextHeight = infoTextView.contentSize.height;
infoTextFrame = CGRectMake(textOffSetInColumn, infoOffsetVertical, infoTextWidth, infoTextHeight);
infoTextView.frame = infoTextFrame;

I have used Bruno's idea to resize my TextView according to the amount of text, when I put it to the ScrollView. This is how I do this. A bunch of constants there, that you may not use. It is important to resize textView after adding it to the ScrollView.

    // Programmatic creation of scroll view layout 
NSString *text = @"Your text";
CGFloat textOffSetInColumn = 10;
CGFloat infoTextWidth = 196;
CGFloat infoOffsetVertical = 36;
CGFloat initialTextHeight = 50;

// Create textView with initial height
CGRect infoTextFrame = CGRectMake(textOffSetInColumn, infoOffsetVertical, infoTextWidth, initialTextHeight);
infoTextView = [[UITextView alloc] initWithFrame:infoTextFrame];
infoTextView.text = text;
[scrollView addSubview:infoTextView];

// Resize textView
CGFloat infoTextHeight = infoTextView.contentSize.height;
infoTextFrame = CGRectMake(textOffSetInColumn, infoOffsetVertical, infoTextWidth, infoTextHeight);
infoTextView.frame = infoTextFrame;

If you want to change the size of TextView and center it to the previous center, you can use this code:

   // Changing size of TextView and centering
    CGPoint center = self.categoryTextView.center;
    self.categoryTextView.frame = CGRectMake(_categoryTextView.frame.origin.x, _categoryTextView.frame.origin.y, _categoryTextView.frame.size.width, _categoryTextView.contentSize.height);
    self.categoryTextView.center = center;

Instead of categoryTextView use your own Outlet name.