At the end of last semester, all 33 students (11 from each of 3 sections) of a particular course were asked how many hours per week they spent studying for the course. This data was combined with the number of points earned by each student in the course. This information is presented in the graph.
Grades in the course were calculated using a 20-point scale. To compute the grade, the number of points earned in the course was divided by 50 and then rounded up to the next whole number.
Use the drop-down menus to complete each statement so that it is consistent with the information provided.
If a student who received a grade of 19 or 20 is randomly selected, the probability that the selected student was in Section C is nearest to __________The passage says the following:
To compute the grade, the number of points earned in the course was divided by 50 and then rounded up to the next whole number. So, to see which numbers of points are associated with grades of 19 and 20, we can consider the following:
1000/50 = 20
950/50 = 19
900/50 = 18
So, we see the following:
Any point number greater than 900 up to 950 is associated with a grade greater than 18 that will be rounded up to 19.
Any point number greater than 950 up to 1000 is associated with a grade greater than than 19 that will be rounded up to 20.
So, we are concerned with all point numbers greater than 900 up to 1000.
Counting the symbols representing such point numbers, we see that there are 9.
Counting the Section C symbols, filled in black circles, representing such point numbers, we see that there are 4.
Probability of Choosing a Student from Section C = 4/9 ≈ 44%
Choose
0.444.
Section __________ has the greatest range of grades.Since Grade = Points/50, the grades of the students are directly proportional to the points earned by the students.
Thus, we can tell which section has the greatest range of grades by determining which section has the greatest range of points.
The range of a points for a section will be the difference between the greatest number of points and the smallest number of points earned by a student in that section.
Scanning the graph, we see that the lowest number of points, approximately 510, was earned by a student in Section A.
Also, the greatest number of points, approximately 980, was earned by a student in Section A.
So, since the difference between the greatest point value on the graph and the smallest point value on the graph has to be greater than the range for any other section, Section A must have the greatest range of points and thus the greatest range of grades.
Choose
A.
Correct answer: 0.444,
A