Understand the relationship between standard deviation and variance.

The variance ($\sigma^2$) is the square of the standard deviation ($\sigma$).

$$\sigma^2 = (\sigma)^2$$

Given standard deviation $\sigma = 8.2$.

$$\sigma^2 = (8.2)^2$$

$$\sigma^2 = 8.2 \times 8.2$$ $$\sigma^2 = 67.24$$

The calculated variance is 67.24. Option A is 67.2, which is the closest value.

The final answer is $\text{A) 67.2}$.