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Each student who received a better grade on Paper 2 than on Paper 1 received an A on the final project.: No
Each student who received a better grade on Quiz 1 than on Quiz 2 received an A on the final project.: Yes
Phoebe and Stanley received the same overall grade.: No
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 a gradebook. Letter grades of A, B, C, and D represent numerical grades of 4, 3, 2, and 1, respectively. Each student’s overall grade was determined by computing the average (arithmetic mean) of their grades on the first paper, the first quiz, the second paper, the second quiz, and the final project, and then rounding to the nearest whole number. If the average is exactly halfway between whole numbers, the grade will be rounded up.
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Student | Paper 1 | Quiz 1 | Paper 2 | Quiz 2 | Final project |
|---|---|---|---|---|---|
| Phoebe | A | B | B | A | A |
| Stanley | A | B | A | C | A |
| Linette | B | A | B | C | A |
| Mia | B | C | C | D | A |
| Sietske | B | B | C | C | A |
| Sigrid | B | C | C | B | B |
| Vig | B | D | C | D | B |
| Jean | C | C | B | A | B |
| Robin | D | A | A | D | A |
| Yolette | D | C | C | A | A |
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Yes | No | |
| Each student who received a better grade on Paper 2 than on Paper 1 received an A on the final project. | ||
| Each student who received a better grade on Quiz 1 than on Quiz 2 received an A on the final project. | ||
| Phoebe and Stanley received the same overall grade. |
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Official Answer
Each student who received a better grade on Paper 2 than on Paper 1 received an A on the final project.: No
Each student who received a better grade on Quiz 1 than on Quiz 2 received an A on the final project.: Yes
Phoebe and Stanley received the same overall grade.: No
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11 Jun 2026, 11:34
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The table below shows a gradebook. Letter grades of A, B, C, and D represent numerical grades of 4, 3, 2, and 1, respectively. Each student’s overall grade was determined by computing the average (arithmetic mean) of their grades on the first paper, the first quiz, the second paper, the second quiz, and the final project, and then rounding to the nearest whole number. If the average is exactly halfway between whole numbers, the grade will be rounded up.
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
Each student who received a better grade on Paper 2 than on Paper 1 received an A on the final project.
To shorten the process of answering this one, have the table sorted on Paper 1 from A to D. Then, eliminate anyone who got an A on Paper 1 since, for all those, there's no way to have gotten a better grade on Paper 2.
Then, starting with the B's on Paper 1, scan across each row to see whether the grade on Paper 2 is higher, being careful to use the correct columns.
The first row that works is Jean's row, with a C on Paper 1 and a B for Paper 2. We see that Jean did not receive an A on the final project.
Select No.
Each student who received a better grade on Quiz 1 than on Quiz 2 received an A on the final project.
For this one, we can sort on Quiz 2 to get the Quiz 2 A's to the top so that they can be quickly eliminated since, for those, there's no way to have gotten a better grade on Quiz 1.
Then, for the remaining rows, scan to see which ones have a higher grade for Quiz 1.
The rows that work that way are those of Stanley, Sietske, Linette, Mia, and Robin, all of whom received an A on the final project.
Select Yes.
Phoebe and Stanley received the same overall grade.
To calculate their overall grades, we have to use the procedure presented by the prompt:
Phoebe:
Letter grades: A B B A A
Equivalent numbers: 4 3 3 4 4
Total: 18
18/5 = 3.6
Rounded: 4
Stanley:
Letter grades: A B A C A
Equivalent numbers: 4 3 4 2 4
Total: 17
17/5 = 3.4
Rounded: 3
4 and 3 are not the same overall grades.
Select No.
Correct answer: No, Yes, No
| Student | Paper 1 | Quiz 1 | Paper 2 | Quiz 2 | Final project |
|---|---|---|---|---|---|
| Phoebe | A | B | B | A | A |
| Stanley | A | B | A | C | A |
| Linette | B | A | B | C | A |
| Mia | B | C | C | D | A |
| Sietske | B | B | C | C | A |
| Sigrid | B | C | C | B | B |
| Vig | B | D | C | D | B |
| Jean | C | C | B | A | B |
| Robin | D | A | A | D | A |
| Yolette | D | C | C | A | A |
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
Each student who received a better grade on Paper 2 than on Paper 1 received an A on the final project.
To shorten the process of answering this one, have the table sorted on Paper 1 from A to D. Then, eliminate anyone who got an A on Paper 1 since, for all those, there's no way to have gotten a better grade on Paper 2.
Then, starting with the B's on Paper 1, scan across each row to see whether the grade on Paper 2 is higher, being careful to use the correct columns.
The first row that works is Jean's row, with a C on Paper 1 and a B for Paper 2. We see that Jean did not receive an A on the final project.
Select No.
Each student who received a better grade on Quiz 1 than on Quiz 2 received an A on the final project.
For this one, we can sort on Quiz 2 to get the Quiz 2 A's to the top so that they can be quickly eliminated since, for those, there's no way to have gotten a better grade on Quiz 1.
Then, for the remaining rows, scan to see which ones have a higher grade for Quiz 1.
The rows that work that way are those of Stanley, Sietske, Linette, Mia, and Robin, all of whom received an A on the final project.
Select Yes.
Phoebe and Stanley received the same overall grade.
To calculate their overall grades, we have to use the procedure presented by the prompt:
Phoebe:
Letter grades: A B B A A
Equivalent numbers: 4 3 3 4 4
Total: 18
18/5 = 3.6
Rounded: 4
Stanley:
Letter grades: A B A C A
Equivalent numbers: 4 3 4 2 4
Total: 17
17/5 = 3.4
Rounded: 3
4 and 3 are not the same overall grades.
Select No.
Correct answer: No, Yes, No
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