Question

425 students in the 9th, 10th, and 11th grades were asked if they ride the bus to school. The results are shown in the two-way frequency table.
Drag statements to the boxes below to show whether each statement is true, false, or if it cannot be determined.


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Answer 1

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The true statements are the following:

• About 32% of the students are in 9th grade.
• $\frac{44}{85}$ of the students surveyed do not ride the bus to school.

Meanwhile, the false statements are the following:

• 64% of the students are 11th graders.
• $\frac{134}{150}$ of the students surveyed are in 9th or 10th grade.

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Answer 2

The true statements are:

• 44/85 of the student surveyed do not ride the bus to school
• About 32% of the students are in the 9th grade

The false statements are:

• 64% of the students are 11th graders
• 134/150 of the students surveyed are in 9th or 10th grade

How to interpret the two-way frequency table

The students that do not ride bus to school

From the table, 220 students do not ride bus to school.

So, the proportion of students that do not ride bus to school is:

$p=\frac{220}{425}$

Simplify

$p=\frac{44}{85}$

Hence, this statement is true

The 9th graders

From the table, 134 students are 9th graders

So, the proportion of students that are 9th graders is:

$p=\frac{134}{425}$

Divide

$p=0.315$

Approximate, and represent as percentage

$p=32\%$

Hence, this statement is true

The 11th graders

From the table, 141 students are 11th graders

So, the proportion of students that are 11th graders is:

$p=\frac{141}{425}$

Divide

$p=0.331$

Approximate, and represent as percentage

$p=33\%$

Hence, this statement is false

The 9th or 10th graders

From the table, 134 + 150 students are 9th or 10th graders

So, the proportion of students that are 11th graders is:

$p=\frac{134 + 150}{425}$

$p=\frac{284}{425}$

Hence, this statement is false

Read more about two-way frequency table at:

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