Can you bind the selected item in a listbox to a separate object in WPF?

public class MyDataList
{
    public ObservableCollection<Guid> Data { get; set; }
}

public class MyDataStructure
{
    public Guid ChosenItem { get; set; }
}

<Window.Resources>
    <local:MyDataStructure x:Key="mds1" />
</Window.Resources>
<ListBox ItemsSource="{Binding Data}" SelectedValue="{Binding Source={StaticResource mds1} Path=ChosenItem}"/>

public class MyDataList : INotifyPropertyChanged
{
    private Guid _choosen;

    public ObservableCollection<Guid> Data { get; set; }

    public Guid ChosenItem {
        get
        {
            return _choosen;
        }
        set
        {
            _choosen = value;
            PropertyChanged(this, new PropertyChangedEventArgs("ChosenItem"));
        }
    }

    public event PropertyChangedEventHandler PropertyChanged;
}

<ListBox ItemsSource="{Binding Data}" SelectedValue="{Binding Path=ChosenItem}" x:Name="listBox"/>