College

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

What percentage of the people surveyed can swim?

A. [tex]$34 \%$[/tex]
B. [tex]$48 \%$[/tex]
C. [tex]$82 \%$[/tex]
D. [tex]$18 \%$[/tex]

Answer :

Sure, I'd be happy to help you understand how to solve this problem!

In this survey, we're looking to find out what percentage of people can swim, based on the given relative frequencies. Here’s a step-by-step breakdown:

1. Identify the Relative Frequencies:
- The survey results show two categories: adults and children, each with their relative frequency of knowing how to swim.
- Adults who can swim: 0.34
- Children who can swim: 0.48

2. Calculate the Total Relative Frequency of People Who Can Swim:
- To find out the total proportion of people who can swim, you should add the relative frequencies for both adults and children who can swim:
[tex]\[
0.34 + 0.48 = 0.82
\][/tex]
- This means 82% of the people surveyed (adults and children combined) can swim.

3. Convert to a Percentage:
- Since we are looking for a percentage, we interpret the relative frequency of 0.82 as 82%. This is because a relative frequency of 1 would equal 100%, so you multiply by 100 to get the percentage:
[tex]\[
0.82 \times 100 = 82\%
\][/tex]

Therefore, the percentage of people surveyed who can swim is 82%, which corresponds to option C.

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!

Rewritten by : Barada