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.

| | Sports | Non-Sports | Total |
|--------------|--------|------------|-------|
| Seventh Grade| 39 | 24 | 63 |
| Eighth Grade | 29 | 28 | 57 |
| Total | 68 | 52 | 120 |

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 nonsports activity.
D. Thirty-nine eighth-grade students chose a nonsports activity.



Answer :

To determine which statement is correct, let’s review the provided table and compare each statement to the information in the table.

Here's the provided table:

[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Sports} & \text{Non-Sports} & \text{Total} \\ \hline \begin{array}{l} \text{Seventh} \\ \text{Grade} \end{array} & 39 & 24 & 63 \\ \hline \begin{array}{l} \text{Eighth} \\ \text{Grade} \end{array} & 29 & 28 & 57 \\ \hline \text{Total} & 68 & 52 & 120 \\ \hline \end{array} \][/tex]

Now, let’s evaluate each statement:

1. Twenty-nine seventh-grade students chose a sports activity.
- According to the table, the number of seventh-grade students who chose a sports activity is 39, not 29. This statement is incorrect.

2. Twenty-eight eighth-grade students chose a sports activity.
- According to the table, the number of eighth-grade students who chose a sports activity is 29, not 28. This statement is incorrect.

3. Twenty-four seventh-grade students chose a nonsports activity.
- According to the table, the number of seventh-grade students who chose a non-sports activity is 24. This statement is correct.

4. Thirty-nine eighth-grade students chose a nonsports activity.
- According to the table, the number of eighth-grade students who chose a non-sports activity is 28, not 39. This statement is incorrect.

After evaluating all the statements, we can conclude that the correct statement is:

Twenty-four seventh-grade students chose a nonsports activity.

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