Given below are two statements: Statement $I$: The covalency of oxygen is generally two but it can exceed up to four. The oxidation state of oxygen in $SO_2$ is $-2$ and in $OF_2$ it is $+2$. Statement $II$: The anomalous behaviour of oxygen when compared to the other elements of group $16$ is due to its small size and high electronegativity. In the light of the above statements, choose the correct answer from the options given below.

• A
  Both Statement $I$ and Statement $II$ are true
• B
  Both Statement $I$ and Statement $II$ are false
• C
  Statement $I$ is true but Statement $II$ is false
• D
  Statement $I$ is false but Statement $II$ is true