High School

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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.

[tex]\[

\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}

\][/tex]

What percentage of the people surveyed cannot swim?

A. [tex]$12\%$[/tex]
B. [tex]$18\%$[/tex]
C. [tex]$40\%$[/tex]
D. [tex]$6\%$[/tex]

Answer :

To find out what percentage of the people surveyed cannot swim, we'll look at the relative frequency table provided:

The table shows relative frequencies for "Can swim" and "Cannot swim" for both adults and children. We want to focus on the category "Cannot swim."

- The relative frequency of adults who cannot swim is 0.06.
- The relative frequency of children who cannot swim is 0.12.

To find the total relative frequency of people who cannot swim, we add these two values together:

[tex]\[ \text{Total relative frequency of people who cannot swim} = 0.06 + 0.12 = 0.18 \][/tex]

This total relative frequency of 0.18 indicates the proportion of people surveyed who cannot swim. To express this as a percentage, we convert the relative frequency to a percentage by multiplying it by 100:

[tex]\[ \text{Percentage of people who cannot swim} = 0.18 \times 100 = 18\% \][/tex]

Therefore, 18% of the people surveyed cannot swim. The correct answer is B. 18%.

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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