Question

information about the students at jackson high school is shown in the table.

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$$\begin{tabular}{|c|c|c|c|} \\hline & girls & boys & total \\\\ \\hline tenth grade & 194 & & 376 \\\\ \\hline eleventh grade & & 179 & \\\\ \\hline twelfth grade & 156 & & 306 \\\\ \\hline total & 523 & 511 & 1,034 \\\\ \\hline \\end{tabular}$$

which statement must be true?

• out of the 352 eleventh graders at the school, 173 of them are girls.
• out of the 511 boys at the school, 150 of them are tenth graders.
• out of the 523 tenth graders at the school, 173 of them are boys.
• out of the 376 girls at the school, 182 of them are eleventh graders.

Explanation:

Complete the two-way frequency table

Using the Two-Way Frequency Tables knowledge point

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Evaluate the first statement

Using the Two-Way Frequency Tables knowledge point

• Statement: "Out of the 352 eleventh graders at the school, 173 of them are girls."
• The total number of eleventh graders is \(352\).
• The number of eleventh-grade girls is \(173\).
• This statement is true.

Evaluate the remaining statements

Using the Two-Way Frequency Tables knowledge point

• Statement 2: "Out of the 511 boys... 150 of them are tenth graders." (False, there are \(182\) tenth-grade boys).
• Statement 3: "Out of the 523 tenth graders..." (False, there are \(376\) tenth graders total).
• Statement 4: "Out of the 376 girls..." (False, there are \(523\) girls total).

Answer:

• (A) Out of the 352 eleventh graders at the school, 173 of them are girls. (Correct answer)
• (B) Out of the 511 boys at the school, 150 of them are tenth graders.
• (C) Out of the 523 tenth graders at the school, 173 of them are boys.
• (D) Out of the 376 girls at the school, 182 of them are eleventh graders.