Question

Question 5 (6 points)Complete the two-way table for 8th grader's school transportation survey and answer the questions.A. What percentage of 8th graders walk to school?B. What percentage of 8th graders are girls who walk to school?

Answer 1

ANSWER

The percentage of 8th grader that walk to school is 36.2%

The percentage of 8th grader that are female that work to school is 20.8%

Step-by-step explanation

Firstly, we need to complete the table

Recall,

Total number = number of male + number of female

In the given table, The total number of male in 8th grader is 129 and the total number of female in 8th grader is 92

Firstly, we need to determine the number of male 8th grader that walk to school

Number of male 8th grader that walk to school = 129 - (28 + 15 + 52)

Number of male 8th grader that walk to school = 129 - 95

Number of male 8th grader that walk to school = 34

Therefore, 34 male 8th grader walked to school

The next step is to calculate the total number of 8th grader that walked to school

In the table provided, the total number of 8th grader that walk to school is 80

The percentage of the 8th grader that walk to school is calculated below as

`\begin{gathered} \text{ \% = }\frac{\text{ total number of 8th grader that walk to school}}{\text{ total number of 8th grader}}*\text{ 100\%} \\ \\ \text{ \% = }\frac{\text{ 80}}{\text{ 221}}\text{ }*\text{ 100\%} \\ \text{ \% = 0.362 }*\text{ 100\%} \\ \text{ \% = 36.2\%} \end{gathered}`

Therefore, the percentage of 8th grader that walk to school is 36.2%

Part 2

The number of female 8th grader that walk to school is 46

Hence, we can calculate the percentage of female 8th grader that walk to school

`\begin{gathered} \text{ \% = }\frac{\text{ 46}}{\text{ 221}}*\text{ 100\%} \\ \text{ \% = 0.208 }*\text{ 100\%} \\ \text{ \% = 20.8 \%} \end{gathered}`

Therefore, the percentage of 8th grader that are female that work to school is 20.8%