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The bar chart above shows the scores of three students—Anna, Robert, and Lisa—across 10 subjects. Each student's scores are represented by bars of a specific color. A horizontal line in the same color as each student’s bars indicates their average score across all subjects.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
of the students had an average score greater than their median score.
The highest average score of a student was approximately times as much as the lowest average score of a student.
The bar chart above shows the scores of three students—Anna, Robert, and Lisa—across 10 subjects. Each student's scores are represented by bars of a specific color. A horizontal line in the same color as each student’s bars indicates their average score across all subjects.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
of the students had an average score greater than their median score.
The highest average score of a student was approximately times as much as the lowest average score of a student.
Show more
Drop-down 1:
We don’t need to do tedious calculations — we just need to conceptually understand what the median represents. With 10 subjects, the median is the average of the 5th and 6th highest scores for each student.
Let’s check each student:
• Anna: Only three bars are higher than the average (blue line), so her 5th and 6th highest scores must be lower than the average. So, median < average.
• Robert: All but two bars are below the average (orange line), so again, the 5th and 6th highest bars are below the average. So, median < average.
• Lisa: Only three bars are lower than the average (gray line), meaning her 5th and 6th highest bars are both above the average. So, median > average.
Thus, two of the students (Anna and Robert) had an average score greater than their median score.
Drop-down 2:
The highest average score is approximately 60 for Lisa, and the lowest is around 25 for Robert. So, the highest is about 60 / 25 = 2.4 times the lowest.