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A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below.

\begin{tabular}{|l|l|c|c|c|}
\hline
\multirow{2}{}{} & \multicolumn{2}{|c|}{ Participates in a Sport } & \\
\cline{2-4}
& Yes & No & Total \\
\hline
\multirow{2}{}{ Participates in a Club } & Yes & 620 & 450 & 1070 \\
\cline{2-5}
& No & 325 & 535 & 860 \\
\hline
& Total & 945 & 985 & 1930 \\
\hline
\end{tabular}

What percentage of students do not participate in a sport?

A. [tex]$27.7 \%$[/tex]
B. [tex]$44.6 \%$[/tex]
C. [tex]$51.0 \%$[/tex]
D. [tex]$62.2 \%$[/tex]



Answer :

GinnyAnswer
To determine what percentage of students do not participate in a sport, we can use the information provided in the table. Here is the step-by-step solution:

1. Identify the total number of students:

From the table, we see that the Total number of students is 1930.

2. Identify the number of students who do not participate in a sport:

The table shows that the number of students who answered No to participating in a sport is 985.

3. Calculate the percentage of students who do not participate in a sport:

To find the percentage of students who do not participate in a sport, we use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of students who do not participate in a sport}}{\text{Total number of students}} \right) \times 100 \][/tex]

4. Plug in the numbers:
[tex]\[ \text{Percentage} = \left( \frac{985}{1930} \right) \times 100 \][/tex]

5. Calculate the result:

When we do the division and multiply by 100, we get:
[tex]\[ \left( \frac{985}{1930} \right) \times 100 \approx 51.0\% \][/tex]

Therefore, the percentage of students who do not participate in a sport is approximately [tex]\(51.0\%\)[/tex].

So, the correct answer is:

[tex]\[ \boxed{51.0\%} \][/tex]

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