A survey of 240 10th grade students in a local High School found that there were 140 girls and 100 boys in the grade. Of the 140 girls, 100 preferred gym class while 40 preferred art class. Of the 100 boys, 40 preferred gym class while 60 preferred art class. Construct a data table for this data and answer this question: Out of the entire survey, what is the probability of choosing a boy?
1/6
To construct a data table for this data, we will make a table with four columns: Gender, Gym Class, Art Class, and Total.
| Gender | Gym Class | Art Class | Total |
| ------ | --------- | --------- | ----- |
| Girls | 100 | 40 | 140 |
| Boys | 40 | 60 | 100 |
| Total | 140 | 100 | 240 |
Now, to answer the question: Out of the entire survey, what is the probability of choosing a boy?
The probability of choosing a boy can be calculated by dividing the total number of boys by the total number of students in the survey.
Probability of choosing a boy = (Number of boys) / (Total number of students)
Probability of choosing a boy = 100 / 240
Thus, the probability of choosing a boy from the entire survey is 0.4167, or approximately 41.67%.
To construct a data table for this data, we'll first list the different variables and their corresponding values.
Variables:
- Total number of 10th-grade students: 240
- Number of girls: 140
- Number of boys: 100
- Number of girls preferring gym class: 100
- Number of girls preferring art class: 40
- Number of boys preferring gym class: 40
- Number of boys preferring art class: 60
Data Table:
| | Number of Students |
| -------- | ----------------- |
| Girls | 140 |
| Boys | 100 |
| Gym | 100 |
| Art | 40 |
| Gym (Boys) | 40 |
| Art (Boys) | 60 |
To answer the question, we need to find the probability of choosing a boy out of the entire survey. The probability of choosing a boy is equal to the number of boys divided by the total number of students.
Probability of choosing a boy = Number of boys / Total number of students
Probability of choosing a boy = 100 / 240
Probability of choosing a boy = 0.4167 or 41.7% (rounded to one decimal place)
Therefore, the probability of choosing a boy from the entire survey is approximately 0.4167 or 41.7%.