A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in non-sports-related activities. The two-way table shows their answers.

Participation in Sports or Non-Sports
\begin{tabular}{|c|c|c|c|}
\hline & Sports & Non-Sports & Total \\
\hline Seventh Grade & 39 & 24 & 63 \\
\hline Eighth Grade & 29 & 20 & 49 \\
\hline Total & 68 & 44 & 120 \\
\hline
\end{tabular}

Which statement is correct?

A. Twenty-nine seventh-grade students chose a sports activity.

B. Twenty-eight eighth-grade students chose a sports activity.

C. Twenty-four seventh-grade students chose a non-sports activity.

D. Thirty-nine eighth-grade students chose a non-sports activity.



Answer :

Let's go through the information step-by-step and verify the correctness of each statement.

Given Data:
1. Seventh Grade:
- Sports: 39
- Non-Sports: 24
- Total: 63

2. Eighth Grade:
- Sports: 29
- Non-Sports: 20
- Total: 49

Total Students Participating in Sports and Non-Sports:
1. Sports: 39 (Seventh Grade) + 29 (Eighth Grade) = 68
2. Non-Sports: 24 (Seventh Grade) + 20 (Eighth Grade) = 44

Statements Verification:

1. Twenty-nine seventh-grade students chose a sports activity:
- According to the data, 39 seventh grade students chose a sports activity.
- This statement is False.

2. Twenty-eight eighth-grade students chose a sports activity:
- According to the data, 29 eighth-grade students chose a sports activity.
- This statement is False.

3. Twenty-four seventh-grade students chose a non-sports activity:
- According to the data, 24 seventh-grade students chose a non-sports activity.
- This statement is True.

4. Thirty-nine eighth grade students chose a non-sports activity:
- According to the data, 20 eighth-grade students chose a non-sports activity.
- This statement is False.

Summary:
- Total students in seventh grade: 63
- Total students in eighth grade: 49
- Total students participating in sports: 68
- Total students participating in non-sports: 44

So, the verification results for the statements are:
1. False
2. False
3. True
4. False