# percentage calculation

I know how to calculate percentage; but the reason I am posting this question is, I might have misunderstood the question itself.

We have the following question from research methodology:

In a survey of students involving the following variables: Student Name, Age, Gender, Height, Weight, Eye color, Hair color, and Marital status.

What percentage of the survey variable cannot be deduced by observation?

1. $25\%$
2. $\approx 30\%$
3. $\approx 40\%$
4. $50\%$
5. $\approx 60\%$

It is clear that qualitative variables in the above set with the length of $5$ (say $L_1$) are:

Qualitative$=\{$Student name,Gender,Eye Color,Hair Color,Martial Status$\}$

While Quantitative$=\{$Age,Weight,Height$\}$ with the length of $3$ (say $L_2$). So total variables we have is $8$.

Now we can represent different percentages, for example:
$$\frac{L_1}{L_2}=\frac{3}{5}$$

which is actualy $60$% ,it means that number of quantative variables is $60$% of qualitative variables, also we can calculate $\frac{3}{8} \times 100=37.5\%$, or by taking two of quantitative variables and four qualitative it is $\frac{2}{4} \times 100=50\%$, or it can be $\frac{1}{4} \times 100=25\%$.

So I think $\approx 30\%$ is the correct answer. Or maybe I have not understood the question correctly?

• Can you edit your question such that it becomes readable? Maybe you are no native speaker, but you could at least do proper punctuation. May 4, 2012 at 13:36