An inverse variation is described by the relationship N * C = k. Given data points (1, y), (2, 11), and (4, x), find the value of x/y.

We use the complete pair $(N, C) = (2, 11)$ to find $k$:

$$k = 2 \times 11$$ $$k = 22$$

Using the pair $(N, C) = (1, y)$ and the constant $k=22$:

$$1 \times y = 22$$ $$y = 22$$

Using the pair $(N, C) = (4, x)$ and the constant $k=22$:

$$4 \times x = 22$$ $$x = \frac{22}{4}$$ $$x = \frac{11}{2}$$

Now we substitute the values of $x$ and $y$ into the expression $\frac{x}{y}$:

$$\frac{x}{y} = \frac{\frac{11}{2}}{22}$$

To simplify, we multiply the numerator by the reciprocal of the denominator:

$$\frac{x}{y} = \frac{11}{2} \times \frac{1}{22}$$ $$\frac{x}{y} = \frac{11}{44}$$ $$\frac{x}{y} = \frac{1}{4}$$

The phrase "if the mean number is 2/6" is ambiguous and does not consistently apply to the given data under the inverse variation assumption. Therefore, the calculation is based on the inverse variation as the primary instruction.

The final answer is $\frac{1}{4}$.