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17 Apr 2025, 12:00
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Dropdown 1: Two
Dropdown 2: 2.4
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:25) correct
38%
(02:13)
wrong
based on 461
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Not Attempted Yet
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.
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Official Answer
Dropdown 1: Two
Dropdown 2: 2.4
11 May 2025, 07:00
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Official Solution:
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.
Correct answer:
Dropdown 1: "Two"
Dropdown 2: "2.4"
Bunuel
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.
Correct answer:
Dropdown 1: "Two"
Dropdown 2: "2.4"
General Discussion
23 Apr 2025, 22:51
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1. Since we're interested in the median score and there are 10 values, we must consider the average of the 5th and 6th largest columns. For Anna this is \(\frac{45 + 40}{2} = 42.5\), which is less than 49; For Robert this is \(\frac{20 + 20}{2} = 20\), which is less than 25; For Lisa this is \(\frac{80 + 75}{2} = 77.5\), which is more than 60. So, only two students had an average score greater than their median score.
2. The highest average score was from Lisa - 60 and the lowest average score was from Robert - 25. That means the highest score is \(\frac{60}{25} = 2.4\) times larger. So, our answer will be 2.4.
2. The highest average score was from Lisa - 60 and the lowest average score was from Robert - 25. That means the highest score is \(\frac{60}{25} = 2.4\) times larger. So, our answer will be 2.4.
