Which of the following variables for data about a track team is a discrete variable?
C??
The height of a team member
A
The weight of a team member
B
The number of times that a team member finished first in a race
C
The time recorded for the last race that was run by a team member
D
The time recorded for a one-mile race by a team member
E
A group of middle school students were asked which school subject was their favorite. The results are displayed by grade of student in the following bar chart.
The figure presents a bar graph. The horizontal axis is labeled Number of Students, and the numbers 0 through 60, in increments of 10, are indicated. The vertical axis is labeled School Subject, and five subjects are indicated: Art, Social Studies, Science, Math, and Language Arts. There are two bars of data per subject, indicating the seventh and eighth grades. The data represented by the bars are as follows. Note all values are approximate. Language Arts. seventh grade, 25 students, eighth grade, 37 students. Math. seventh grade, 32 students, eighth grade, 23 students. Science. seventh grade, 54 students, eighth grade, 42 students. Social Studies. seventh grade, 15 students, eighth grade, 28 students. Art. seventh grade, 7 students, eighth grade, 18 students.
Which of the following statements is supported by the bar chart?
A??
For students who chose art, the number of grade 8 students was at least 100% greater than the number of grade 7 students.
A
For students who chose social studies, the number of grade 8 students was at least 100% greater than the number of grade 7 students.
B
For students who chose science, the number of grade 8 students was at least 50% less than the number of grade 7 students.
C
For students who chose math, the number of grade 8 students was at least 50% less than the number of grade 7 students.
D
For students who chose language arts, the number of grade 8 students was at least 100% greater than the number of grade 7 students. E
You are correct about A being the answer to the second quesion.
I was thinking it would be C. because it is the number of times because a discrete variable is like the performance rated 1,2,3,4,5.
In order to determine which variable is discrete and supported statement based on the given information, let's break down the questions one by one:
1. Which of the following variables for data about a track team is a discrete variable?
- Discrete variables are those that can only take on specific values and cannot be measured on a continuous scale.
- The height and weight of a team member can vary continuously, so they are not discrete.
- The number of times a team member finished first in a race is a specific number and can only take on whole values, making it a discrete variable.
- The time recorded for the last race and a one-mile race by a team member can be measured on a continuous scale, so they are not discrete.
- Therefore, the answer is C: The number of times that a team member finished first in a race.
2. Which of the following statements is supported by the bar chart?
- To determine the correct statement, let's analyze the data presented in the bar chart.
- The bar chart represents the number of students in each grade (seventh and eighth) that chose a specific school subject.
- The data shows the number of students for each subject and grade.
- Now let's evaluate the statements:
- Statement A: For students who chose art, the number of grade 8 students was at least 100% greater than the number of grade 7 students.
- According to the data, in the seventh grade, 7 students chose art, and in the eighth grade, 18 students chose art. The number of grade 8 students is greater, but it is not at least 100% greater than the number of grade 7 students. Therefore, statement A is not supported.
- Statement B: For students who chose social studies, the number of grade 8 students was at least 100% greater than the number of grade 7 students.
- According to the data, in the seventh grade, 15 students chose social studies, and in the eighth grade, 28 students chose social studies. The number of grade 8 students is greater, but it is not at least 100% greater than the number of grade 7 students. Therefore, statement B is not supported.
- Statement C: For students who chose science, the number of grade 8 students was at least 50% less than the number of grade 7 students.
- According to the data, in the seventh grade, 54 students chose science, and in the eighth grade, 42 students chose science. The number of grade 8 students is less than the number of grade 7 students, but it is not at least 50% less. Therefore, statement C is not supported.
- Statement D: For students who chose math, the number of grade 8 students was at least 50% less than the number of grade 7 students.
- According to the data, in the seventh grade, 32 students chose math, and in the eighth grade, 23 students chose math. The number of grade 8 students is less than the number of grade 7 students, but it is not at least 50% less. Therefore, statement D is not supported.
- Statement E: For students who chose language arts, the number of grade 8 students was at least 100% greater than the number of grade 7 students.
- According to the data, in the seventh grade, 25 students chose language arts, and in the eighth grade, 37 students chose language arts. The number of grade 8 students is greater, and it is at least 100% greater than the number of grade 7 students. Therefore, statement E is supported.
Therefore, the supported statement is E: For students who chose language arts, the number of grade 8 students was at least 100% greater than the number of grade 7 students.