Question

completing a two-way table

a survey was conducted with high school students in each grade to see how many prefer math or english. some of the data are shown below.

which statements are true? check all that apply.

• twenty-three ninth graders and fifteen eleventh graders prefer math.
• fourteen eleventh graders prefer math and eight tenth graders prefer english.
• thirty-five twelfth graders prefer math and nine tenth graders prefer english.
• twenty-three ninth graders and thirty-five twelfth graders prefer math.
• eighteen tenth graders prefer english and fourteen eleventh graders prefer math.

Explanation:

Complete the two-way table

Using the Two-Way Frequency Tables knowledge point

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Solve for missing values

Using the Two-Way Frequency Tables knowledge point

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Verify row totals

Using the Two-Way Frequency Tables knowledge point

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Evaluate the statements

Using the Two-Way Frequency Tables knowledge point

• Statement 1: "Twenty-three ninth graders and fifteen eleventh graders prefer math."

\(M_9 = 23\) (True), \(M_{11} = 14
eq 15\) (False).

• Statement 2: "Fourteen eleventh graders prefer math and eight tenth graders prefer English."

\(M_{11} = 14\) (True), \(E_{10} = 8\) (True).

• Statement 3: "Thirty-five twelfth graders prefer math and nine tenth graders prefer English."

\(M_{12} = 35\) (True), \(E_{10} = 8
eq 9\) (False).

• Statement 4: "Twenty-three ninth graders and thirty-five twelfth graders prefer math."

\(M_9 = 23\) (True), \(M_{12} = 35\) (True).

• Statement 5: "Eighteen tenth graders prefer English and fourteen eleventh graders prefer math."

\(E_{10} = 8
eq 18\) (False).

Answer:

• Twenty-three ninth graders and fifteen eleventh graders prefer math.
• Fourteen eleventh graders prefer math and eight tenth graders prefer English. (Correct answer)
• Thirty-five twelfth graders prefer math and nine tenth graders prefer English.
• Twenty-three ninth graders and thirty-five twelfth graders prefer math. (Correct answer)
• Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.