Campbell asked the students in her class to choose their favorite sports team. She presented the results of the survey in a bar graph.
A bar graph is titled Favorite Sports Teams. The y-axis is labeled Number of Students. The x-axis is labeled Teams. A vertical bar labeled Rockets has a height of 6. A vertical bar labeled Astros has a height of 4. A vertical bar labeled Cowboys has a height of 8. A vertical bar labeled Other has a height between 4 and 6.
Choose the two statements that correctly interpret the bar graph.
A.
There are more students who chose the Astros than the Rockets.
B.
Five students did not choose the Rockets, Astros, or Cowboys.
C.
Twice as many students chose the Cowboys than any other team.
D.
There are half as many students who chose the Astros as the students who chose the Cowboys.
E.
The number of students who chose the Cowboys is the same as the number who chose the Rockets or the Astros.
A. There are more students who chose the Astros than the Rockets.
B. Five students did not choose the Rockets, Astros, or Cowboys.
These are the two statements that correctly interpret the bar graph.
One of the people lied to you above the correct answers are A and D
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To interpret the bar graph and determine the correct statements, we need to analyze the heights of the bars representing each team.
Statement A: "There are more students who chose the Astros than the Rockets."
To determine if this statement is true or false, we compare the heights of the bars representing the Rockets and the Astros. The Rockets have a height of 6, while the Astros have a height of 4. Since the height of the Rockets bar is greater, this statement is false.
Statement B: "Five students did not choose the Rockets, Astros, or Cowboys."
To determine if this statement is true or false, we need to consider the height of the "Other" bar. The bar representing "Other" falls between 4 and 6. If its height is equal to 5, then there are indeed five students who did not choose the Rockets, Astros, or Cowboys. This statement is possibly true.
Statement C: "Twice as many students chose the Cowboys than any other team."
To verify this statement, we compare the height of the Cowboys bar (8) to the heights of the other bars. The Rockets have a height of 6, the Astros have a height of 4, and the "Other" bar falls between 4 and 6. None of the other bars have a height that is half of the Cowboys' height. Therefore, this statement is false.
Statement D: "There are half as many students who chose the Astros as the students who chose the Cowboys."
Comparing the heights of the bars, the number of students who chose the Cowboys is 8, while the number of students who chose the Astros is 4. This means the Cowboys have double the number of students than the Astros, not half. So, this statement is false.
Statement E: "The number of students who chose the Cowboys is the same as the number who chose the Rockets or the Astros."
To determine if this statement is true or false, we add the heights of the Rockets and Astros bars. The Rockets have a height of 6 and the Astros have a height of 4. The sum of 6 and 4 is 10, which is not the same as the height of the Cowboys bar (8). Therefore, this statement is false.
The correct statements are B. "Five students did not choose the Rockets, Astros, or Cowboys." and E. "The number of students who chose the Cowboys is the same as the number who chose the Rockets or the Astros."