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In a survey, 250 adults and children were asked whether they know how to swim. The survey data are shown in the relative frequency table.

\[
\begin{tabular}{|c|c|c|c|}
\hline
& Can swim & Cannot swim & Total \\
\hline
Adults & 0.34 & 0.06 & \\
\hline
Children & 0.48 & 0.12 & \\
\hline
Total & & & \\
\hline
\end{tabular}
\]

What percentage of the people surveyed are adults?

A. [tex]$40\%$[/tex]
B. [tex]$34\%$[/tex]
C. [tex]$82\%$[/tex]
D. [tex]$6\%$[/tex]

Answer :

The percentage of adults in the survey is A) 40%.

We know that:

  1. The total number of people surveyed is 250.
  2. The frequency of adults who can swim is 0.34, and of adults who cannot swim is 0.06.
  3. Therefore, the total relative frequency for adults can be calculated by adding the corresponding values in the table: 0.34 + 0.06 = 0.40.

This means that adults make up 40% of the total survey population.

Now we calculate the actual number of adults:

Since the relative frequency of adults is 0.40, we multiply this proportion by the total number of surveyed individuals:

Number of adults = Total surveyed × Relative frequency of adults

Number of adults = 250 × 0.40 = 100.

Now to find the percentage of people surveyed who are adults:

Percentage of adults = (Number of adults / Total surveyed) × 100

Percentage of adults = (100 / 250) × 100 = 40%.

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