Khan Academy

Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.

What percent of males in the sample chose invisibility as their superpower?
Round your answer to the nearest percent.

[tex]\[
\begin{tabular}{|l|c|c|c|}
\hline
Superpower & Male & Female & TOTAL \\
\hline
Flight & 26 & 11 & 37 \\
\hline
Invisibility & 14 & 31 & 45 \\
\hline
Other & 10 & 8 & 18 \\
\hline
TOTAL & 50 & 50 & 100 \\
\hline
\end{tabular}
\][/tex]



Answer :

To determine the percentage of males in the sample who chose invisibility as their superpower, we'll follow the logical steps detailed below:

1. Identify Relevant Data:
- The total number of males surveyed.
- The number of males who chose invisibility.

From the table provided:
- The total number of males surveyed is 50.
- The number of males who chose invisibility is 14.

2. Set Up the Calculation:

We need to find what percent of the total males chose invisibility. This is done using the ratio of males who chose invisibility to the total number of males, and then converting that ratio into a percentage.

3. Perform the Calculation:

[tex]\[ \text{Percent of males who chose invisibility} = \left(\frac{\text{Number of males who chose invisibility}}{\text{Total number of males}}\right) \times 100 \][/tex]

Plugging in the numbers:
[tex]\[ \text{Percent of males who chose invisibility} = \left(\frac{14}{50}\right) \times 100 \][/tex]

Simplifying the fraction:
[tex]\[ \left(\frac{14}{50}\right) \times 100 = 0.28 \times 100 = 28 \][/tex]

4. Round the Result:

Although our result came out to a whole number (28), it is always good practice to identify the necessity of rounding especially if the result was a decimal. Since we need the answer rounded to the nearest whole number, the final percentage remains:

[tex]\[ 28\% \][/tex]

Thus, the percentage of males in the sample who chose invisibility as their superpower is 28%.