Concept:
- The highest oxidation state a transition metal can show generally equals its group number, because all valence electrons (both $ns$ and $(n-1)d$) can potentially be removed. This rule works well up to Group 7, which is manganese.
- After manganese, increasing pairing energy in the partly filled $d$-subshell makes it harder to remove further electrons, so elements past Group 7 show fewer accessible oxidation states than their group number would suggest.
- A completely empty or completely filled $d$-subshell gives almost no flexibility, since extra oxidation states come specifically from a partially filled $d$-subshell.
Step 1: Assign each element its group number and check the $d$-subshell configuration.
Scandium is in Group 3, with configuration $3d^1 4s^2$.
Iron is in Group 8, with configuration $3d^6 4s^2$; the high pairing energy of this $d^6$ arrangement blocks most higher oxidation states.
Manganese is in Group 7, with configuration $3d^5 4s^2$; this half-filled arrangement keeps pairing energy low right up to the loss of all seven valence electrons.
Zinc has configuration $3d^{10} 4s^2$, a completely filled $d$-subshell.
Step 2: List the known oxidation states of each element.
Scandium shows mainly $+3$.
Iron commonly shows $+2$ and $+3$, with $+4$ and $+6$ appearing rarely.
Manganese shows $+2, +3, +4, +5, +6$ and $+7$.
Zinc shows only $+2$.
Step 3: Count the number of oxidation states for each element and compare.
Manganese shows six oxidation states, more than iron shows, and far more than scandium or zinc, each of which shows essentially one state.
Final Answer: Manganese (Mn)