3. On a certain day in January, the highest temperature in Lincoln, Nebraska, was $16^{\circ} \mathrm{C}$ higher than the lowest temperature, and the average temperature was $3^{\circ} \mathrm{C}$. Then the temperature range in Lincoln on that day was ( ).
(A) $13^{\circ} \mathrm{C}$
(B) $8^{\circ} \mathrm{C}$
(C) $-5^{\circ} \mathrm{C}$
(D) $-3^{\circ} \mathrm{C}$
(E) $11^{\circ} \mathrm{C}$
3. C.

Let the highest temperature of the day be $x^{\circ} \mathrm{C}$, and the lowest be $y^{\circ} \mathrm{C}$. Then
$$
\left\{\begin{array} { l } 
{ x - y = 1 6 , } \\
{ \frac { x + y } { 2 } = 3 }
\end{array} \Rightarrow \left\{\begin{array}{l}
x=11 \\
y=-5 .
\end{array}\right.\right.
$$