Dean collected data on the favorite sports of the students of two grades. The data is displayed in the table.

Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 17 24 5 46
Grade 9 14 18 22 54
Column totals 31 42 27 100

Based on the data, which statement is most likely correct?
In Grade 8, 31 students liked swimming.
In Grade 9, 27 students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18 students liked running.

1 answer

To determine which statement is most likely correct, we will analyze the data presented in the table regarding the favorite sports of students in Grade 8 and Grade 9.

From the table:

  • For Grade 8:

    • Swimming: 17 students
    • Running: 24 students
    • Volleyball: 5 students
    • Total: 46 students
  • For Grade 9:

    • Swimming: 14 students
    • Running: 18 students
    • Volleyball: 22 students
    • Total: 54 students

Now, let's evaluate each statement:

  1. In Grade 8, 31 students liked swimming.
    This statement is incorrect. The number of students in Grade 8 who liked swimming is 17.

  2. In Grade 9, 27 students liked volleyball.
    This statement is incorrect. The number of students in Grade 9 who liked volleyball is 22.

  3. In Grade 9, 14 students liked running.
    This statement is incorrect. The number of students in Grade 9 who liked running is 18.

  4. In Grade 9, 18 students liked running.
    This statement is correct. According to the table, 18 students in Grade 9 liked running.

Therefore, the correct statement is: In Grade 9, 18 students liked running.