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17 Apr 2025, 07:09
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Math has the highest range of scores among the four subjects.: False
Caroline has the highest average score across all four subjects.: True
Ana has the highest median score across the four subjects among the five students.: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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The table below shows the scores received by five students—Ana, Borris, Caroline, Donald, and Eva—in four subjects: Math, Science, English, and Current Affairs. The maximum possible score in any subject is 80.
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| Student | Math | Science | English | Current Affairs |
|---|---|---|---|---|
| Ana | 80 | 80 | 72 | 68 |
| Borris | 75 | 75 | 71 | 67 |
| Caroline | 79 | 78 | 72 | 78 |
| Donald | 76 | 75 | 72 | 72 |
| Eva | 73 | 77 | 70 | 65 |
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| True | False | |
| Math has the highest range of scores among the four subjects. | ||
| Caroline has the highest average score across all four subjects. | ||
| Ana has the highest median score across the four subjects among the five students. |
ShowHide Answer
Official Answer
Math has the highest range of scores among the four subjects.: False
Caroline has the highest average score across all four subjects.: True
Ana has the highest median score across the four subjects among the five students.: False
18 May 2025, 01:15
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Official Solution:
Math has the highest range of scores among the four subjects.
• To find the range for each subject, subtract the lowest score from the highest score among the five students: Math has a range of 80 - 73 = 7. However, Current Affairs has a range of 78 - 65 = 13, which is higher. So, this statement is false.
Caroline has the highest average score across all four subjects.
• Sorting by subject scores, only Ana and Caroline are contenders. Ana’s total is 300, Caroline’s is 307. So Caroline has the highest average. So, this statement is true.
Ana has the highest median score across the four subjects among the five students.
• The median score of four values will be the average of the two middle scores. Basically, to compare the medians, we just need to compare the sum of the two middle scores for each student. Ana’s two middle scores sum to 152 = 72 + 80. However, Caroline has a higher sum of middle scores: 78 + 78 = 156. Thus, Caroline has the higher median. So, this statement is false
Correct answer:
Math has the highest range of scores among the four subjects. "False"
Caroline has the highest average score across all four subjects. "True"
Ana has the highest median score across the four subjects among the five students. "False"
Bunuel
Math has the highest range of scores among the four subjects.
• To find the range for each subject, subtract the lowest score from the highest score among the five students: Math has a range of 80 - 73 = 7. However, Current Affairs has a range of 78 - 65 = 13, which is higher. So, this statement is false.
Caroline has the highest average score across all four subjects.
• Sorting by subject scores, only Ana and Caroline are contenders. Ana’s total is 300, Caroline’s is 307. So Caroline has the highest average. So, this statement is true.
Ana has the highest median score across the four subjects among the five students.
• The median score of four values will be the average of the two middle scores. Basically, to compare the medians, we just need to compare the sum of the two middle scores for each student. Ana’s two middle scores sum to 152 = 72 + 80. However, Caroline has a higher sum of middle scores: 78 + 78 = 156. Thus, Caroline has the higher median. So, this statement is false
Correct answer:
Math has the highest range of scores among the four subjects. "False"
Caroline has the highest average score across all four subjects. "True"
Ana has the highest median score across the four subjects among the five students. "False"
General Discussion
25 Apr 2025, 14:47
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1. We are asked to analyze the following statements and conclude whether they are true or false based on the given information.
2. Math has the highest range of scores among the four subjects. Let's calculate the ranges for all four subjects:
- Math. 80 - 73 = 7.
- Science. 80 - 75 = 5.
- English. 72 - 70 = 2.
- Current Affairs. 78 - 65 = 13.
Here, Current Affairs has the largest range. So, this statement is false.
3. Caroline has the highest average score across all four subjects. Let's calculate the averages for all five students:
- Caroline. \(\frac{79 + 78 + 72 + 78}{4} = 76.75\).
- Donald. \(\frac{76 + 75 + 72 + 72}{4} = 73.75\).
- Ana. \(\frac{80 + 80 + 72 + 68}{4} = 75\).
- Borris. \(\frac{75 + 75 + 71 + 67}{4} = 72\).
- Eva. \(\frac{73 + 77 + 70 + 65}{4} = 71.25\).
Caroline has the largest average score. So, this statement is true.
4. Ana has the highest median score across the four subjects among the five students. Let's calculate the median scores (which is the average of the middle two in this case) for all five students:
- Caroline. \(\frac{78 + 78}{2} = 78\).
- Donald. \(\frac{75 + 72}{2} = 75.5\).
- Ana. \(\frac{80 + 72}{2} = 76\).
- Borris. \(\frac{75 + 71}{2} = 73\).
- Eva. \(\frac{73 + 70}{2} = 71.5\).
Caroline has the largest median score. So, this statement is false.
2. Math has the highest range of scores among the four subjects. Let's calculate the ranges for all four subjects:
- Math. 80 - 73 = 7.
- Science. 80 - 75 = 5.
- English. 72 - 70 = 2.
- Current Affairs. 78 - 65 = 13.
Here, Current Affairs has the largest range. So, this statement is false.
3. Caroline has the highest average score across all four subjects. Let's calculate the averages for all five students:
- Caroline. \(\frac{79 + 78 + 72 + 78}{4} = 76.75\).
- Donald. \(\frac{76 + 75 + 72 + 72}{4} = 73.75\).
- Ana. \(\frac{80 + 80 + 72 + 68}{4} = 75\).
- Borris. \(\frac{75 + 75 + 71 + 67}{4} = 72\).
- Eva. \(\frac{73 + 77 + 70 + 65}{4} = 71.25\).
Caroline has the largest average score. So, this statement is true.
4. Ana has the highest median score across the four subjects among the five students. Let's calculate the median scores (which is the average of the middle two in this case) for all five students:
- Caroline. \(\frac{78 + 78}{2} = 78\).
- Donald. \(\frac{75 + 72}{2} = 75.5\).
- Ana. \(\frac{80 + 72}{2} = 76\).
- Borris. \(\frac{75 + 71}{2} = 73\).
- Eva. \(\frac{73 + 70}{2} = 71.5\).
Caroline has the largest median score. So, this statement is false.
