The table below shows the scores obtained by students in a Mathematics test. Calculate the average score, correct to one decimal place.

$$\sum (x \cdot f) = (1 \times 3) + (2 \times 5) + (3 \times 3) + (4 \times 7) + (5 \times 5) + (6 \times 1) + (7 \times 5) + (8 \times 6) + (9 \times 3) + (10 \times 2)$$ $$\sum (x \cdot f) = 3 + 10 + 9 + 28 + 25 + 6 + 35 + 48 + 27 + 20$$ $$\sum (x \cdot f) = 211$$

$$\sum f = 3 + 5 + 3 + 7 + 5 + 1 + 5 + 6 + 3 + 2$$ $$\sum f = 40$$

$$\text{Average score} = \frac{211}{40}$$ $$\text{Average score} = 5.275$$

5.275 rounded to one decimal place is 5.3.

The average score is 5.3. This corresponds to option B.

The final answer is $\text{B. 5.3}$.