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04 Sep 2025, 23:05
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The following graph shows the number of hours that 10 students studied for a quiz plotted against each student’s subsequent quiz score. The line of best fit (trend line) has been plotted for the data. Each dot represents an individual student.
Which of the following statements appear to be true from the data?
Indicate all that apply.
A. The data supports the statement, “Students who studied for more hours tended to receive higher quiz scores.”
B. No student who studied for fewer than two hours received a score above six.
C. The mode quiz score was greater than the median quiz score.
D. Some students received the same quiz scores as each other, even though the number of hours they studied differed by more than 1 full hour.
Which of the following statements appear to be true from the data?
Indicate all that apply.
A. The data supports the statement, “Students who studied for more hours tended to receive higher quiz scores.”
B. No student who studied for fewer than two hours received a score above six.
C. The mode quiz score was greater than the median quiz score.
D. Some students received the same quiz scores as each other, even though the number of hours they studied differed by more than 1 full hour.
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Official Answer
A,B,C,D
21 Sep 2025, 12:49
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Official Explanation
The trend line, or line of best fit, has a positive slope. It inclines upward as we move from left to right, implying that scores rise with more hours studied.
(B) There are three students who studied for less than 2 hours, the 3 points in the lower left. Two of these students scored a 6, but none scored above 6.
(C) The most frequently recurring quiz score, or mode quiz score, is 8. The median, or middle value on the list, must be below 8, because only four of the scores are as high as 8, while six of the scores are below 8. Specifically, the median of 10 scores will always be the average of the 5th and 6th highest scores, both of which, here, are less than 8.
(D) The two students who scored a 7 differed in their number of hours studied by more than 2 full hours. 10. (B) The question is really asking, for what number n will 320 + 322 = 320 × n. Factor the left side by factoring out 320, the greatest common factor of 320 and 322. Then 320(1 + 32) = 320 × n, since exponents are added when multiplying expressions with a common base. So 320(1 + 9) = 320(10) = 320 n, and 10 = n, to make the two sides match, (B).
Answer: A,B,C,D
The trend line, or line of best fit, has a positive slope. It inclines upward as we move from left to right, implying that scores rise with more hours studied.
(B) There are three students who studied for less than 2 hours, the 3 points in the lower left. Two of these students scored a 6, but none scored above 6.
(C) The most frequently recurring quiz score, or mode quiz score, is 8. The median, or middle value on the list, must be below 8, because only four of the scores are as high as 8, while six of the scores are below 8. Specifically, the median of 10 scores will always be the average of the 5th and 6th highest scores, both of which, here, are less than 8.
(D) The two students who scored a 7 differed in their number of hours studied by more than 2 full hours. 10. (B) The question is really asking, for what number n will 320 + 322 = 320 × n. Factor the left side by factoring out 320, the greatest common factor of 320 and 322. Then 320(1 + 32) = 320 × n, since exponents are added when multiplying expressions with a common base. So 320(1 + 9) = 320(10) = 320 n, and 10 = n, to make the two sides match, (B).
Answer: A,B,C,D
