Carcass wrote:
The number of hours that 10students 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.
1) The data supports the statement, “Students who studied for more hours tended to receive higher quiz scores.”
2) No student who studied for fewer than two hours received a score above six.
3) The mode quiz score was greater than the median quiz score.
4) 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.
A. The data supports the statement, “Students who studied for more hours tended to receive higher quiz scores.”The points have a strong positive co-relation, this means as the hours increase - the score too will tend to increase
B. No student who studied for fewer than two hours received a score above sixWe have three scores (\(5.5, 6, 6\)) below the 2-hour line - which is not above \(6\)
C. The mode quiz score was greater than the median quiz scoreMode is \(8\) - three times
For the Median, arrange the scores in ascending order first - 5.5, 5.5, 6, 6, 7, 7, 8, 8, 8, 8.5. So, Median is \(7\)
Mode > Median
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 hourClearly a student who scored \(8\) studied for approx. 2.5 hours and another student who scores \(8\) studied for 4 hours
Hence, All the option choices are correct
There is two points for the students who studied more hours but get fewer marks, isn't that show contradiction on A?