I took my inspiration from Jon Benson's blog entry, but modified his solution to use enumerations that have a description attribute. So the key parts of the solution became:
Enumerator with descriptions
public enum AgeRange {
  [Description("0 - 18 years")]
  Youth,
  [Description("18 - 65 years")]
  Adult,
  [Description("65+ years")]
  Senior,
}
Code for reading descriptions and returning key/value pairs for binding.
public static class EnumHelper
{
    public static string ToDescriptionString(this Enum val)
    {
        var attribute =
            (DescriptionAttribute)
            val.GetType().GetField(val.ToString()).GetCustomAttributes(typeof(DescriptionAttribute), false).
                SingleOrDefault();
        return attribute == default(DescriptionAttribute) ? val.ToString() : attribute.Description;
    }
    public static List<KeyValuePair<string,string>> GetEnumValueDescriptionPairs(Type enumType)
    {
        return Enum.GetValues(enumType)
            .Cast<Enum>()
            .Select(e => new KeyValuePair<string, string>(e.ToString(), e.ToDescriptionString()))
            .ToList();
    }
}
Your Object Data Provider in XAML
<ObjectDataProvider
    ObjectType="{x:Type local:EnumHelper}"
    MethodName="GetEnumValueDescriptionPairs"
    x:Key="AgeRanges">
    <ObjectDataProvider.MethodParameters>
        <x:Type TypeName="local:AgeRange" />
    </ObjectDataProvider.MethodParameters>
</ObjectDataProvider>
Your ListBox in XAML
<ListBox 
    ItemsSource="{Binding Source={StaticResource AgeRanges}}"
    SelectedValue="{Binding SelectedAgeRange}"
    SelectedValuePath="Key">
    <ListBox.ItemTemplate>
        <DataTemplate>
            <RadioButton 
                IsChecked="{Binding IsSelected, RelativeSource={RelativeSource Mode=FindAncestor, AncestorType={x:Type ListBoxItem}}}"
                Content="{Binding Value}" />
        </DataTemplate>
    </ListBox.ItemTemplate>
</ListBox>
The property (e.g. in your view model) that you are binding to
public class YourViewModel : INotifyPropertyChanged
{
  private AgeRange _selectedAgeRange;
  public AgeRange SelectedAgeRange
  {
    get { return _selectedAgeRange; }
    set 
    {
      if (value != _selectedAgeRange)
      {
        _selectedAgeRange = value;
        OnPropertyChanged("SelectedAgeRange");
      }
    }
  }
}