two graphs displaying the number of As received at Bridgeport Middle School
The left graph is labeled A’s at Bridgeport Middle School. The x-axis is labeled Grade. The y-axis is labeled Number of Students and goes from 10 to 90 in increments of 10. The 6th grade bar goes to 47. The 7th grade bar goes to 40. The 8th grade bar goes to 41. The right graph is labeled A’s at Bridgeport Middle School. The x-axis is labeled Grade. The y-axis is labeled Number of Students and goes from 40 to 47 in increments of 1. The 6th grade bar goes to 47. The 7th grade bar goes to 40. The 8th grade bar goes to 41.
The graphs above show the number of students receiving A’s in each grade at Bridgeport Middle School. Which statement is true?
A. The scale on the first graph does not distort the lengths of the bars.
B. The second graph shows greater changes in the number of A’s than the first graph.
C. The two graphs use completely different data.
D. The scale of the first graph is misleading.
B. The second graph shows greater changes in the number of A's than the first graph.
The correct statement is:
D. The scale of the first graph is misleading.
To determine which statement is true, let's analyze the information provided and compare the two graphs.
The left graph represents the number of students receiving A's at Bridgeport Middle School. The x-axis represents the grades (6th, 7th, and 8th), while the y-axis represents the number of students with increments of 10. The length of each bar represents the number of A's received by students in each grade. The 6th grade bar goes to 47, the 7th grade bar goes to 40, and the 8th grade bar goes to 41.
The right graph also represents the number of students receiving A's at Bridgeport Middle School. The x-axis and y-axis have the same labels as the left graph, representing the grades and the number of students. However, the y-axis scale has changed, now ranging from 40 to 47 in increments of 1. The length of each bar in this graph also represents the number of A's received by students in each grade. The 6th grade bar goes to 47, the 7th grade bar goes to 40, and the 8th grade bar goes to 41.
Now, let's evaluate the statements:
A. The scale on the first graph does not distort the lengths of the bars.
This statement is true. In the left graph, the y-axis increments of 10 accurately represent the number of students, and the lengths of the bars depict the actual number of A's received by students in each grade.
B. The second graph shows greater changes in the number of A's than the first graph.
This statement is false. Both graphs have the same bars representing the number of A's received by students in each grade. The lengths of the bars are the same in both graphs, indicating that there are no greater changes in the number of A's between the two graphs.
C. The two graphs use completely different data.
This statement is false. Both graphs represent the number of students receiving A's at Bridgeport Middle School for each grade. The values (47, 40, and 41) are consistent between the two graphs.
D. The scale of the first graph is misleading.
This statement is false. The scale of the first graph does not distort the lengths of the bars and accurately represents the number of students and the number of A's received in each grade.
Therefore, the correct answer is A. The scale on the first graph does not distort the lengths of the bars.