Answer
$Grade~~~~~~~~~~~Sample~~~~~~~~~~~~Rank$
$~~~~A~~~~~~~~~~~Professor~A~~~~~~~~~~~3$
$~~~~A~~~~~~~~~~~Professor~A~~~~~~~~~~~3$
$~~~~A~~~~~~~~~~~Professor~B~~~~~~~~~~~3$
$~~~~A~~~~~~~~~~~Professor~B~~~~~~~~~~~3$
$~~~~A~~~~~~~~~~~Professor~B~~~~~~~~~~~3$
$~~~~B~~~~~~~~~~~Professor~A~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~A~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~A~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~B~~~~~~~~~~~Professor~B~~~~~~~~~~10$
$~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$ $~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~A~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~B~~~~~~~~~19.5$ $~~~~C~~~~~~~~~~~Professor~B~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~B~~~~~~~~~19.5$
$~~~~C~~~~~~~~~~~Professor~B~~~~~~~~~19.5$
$~~~~D~~~~~~~~~~~Professor~A~~~~~~~~~26.5$ $~~~~D~~~~~~~~~~~Professor~A~~~~~~~~~26.5$
$~~~~D~~~~~~~~~~~Professor~A~~~~~~~~~26.5$
$~~~~D~~~~~~~~~~~Professor~B~~~~~~~~~26.5$
$~~~~F~~~~~~~~~~~Professor~A~~~~~~~~~29.5$
$~~~~F~~~~~~~~~~~Professor~B~~~~~~~~~29.5$
Work Step by Step
Given above.