Se eu entendi corretamente, você pode usar CASE EXPRESSION assim:
SELECT id,user_id,
case when friend_points between 0 and 49 then 'Normal rate'
when friend_points between 50 and 99 then 'Friend'
when friend_points between 100 and 149 then 'Good friend'
.......
end as 'Friend_Status'
FROM profile
EDITAR:
Ou, se esses nomes puderem mudar dinamicamente, com uma junção:
SELECT t.id,t.user_id,s.name
FROM profile t
INNER JOIN friend_levels s ON(t.friend_points >= s.points_needed)
WHERE s.points_needed = (select min(f.points_needed)
from friend_levels f
where t.friend_points >= f.points_needed)
