Question

13
the scatterplot shows the number of hours of study for 10 students and their scores
on a state test.
based on the data in the scatterplot, mark all the statements that are true.
students who study 5 hours get lower scores than students who study more
than 5 hours.
students who studied more than 3 hours scored higher than the students who
studied less than 3 hours.
t student who scored a 90% studied for 5 hours.
students who scored the lowest did the least amount of studying.

Explanation:

Step1: Analyze the first statement

Looking at the scatter - plot, for the \(x\) - values (hours of study), when \(x = 5\) (5 hours of study), the \(y\) - values (test scores) are around 90. For \(x>5\) (more than 5 hours of study), the \(y\) - values are 80, 90, 90, 100. So, students who study 5 hours do not get lower scores than students who study more than 5 hours. This statement is false.

Step2: Analyze the second statement

For \(x<3\) (less than 3 hours of study), the \(y\) - values (test scores) are 40, 50, 60, 70, 75. For \(x > 3\) (more than 3 hours of study), the \(y\) - values are 80, 90, 90, 90, 100. So, students who studied more than 3 hours scored higher than the students who studied less than 3 hours. This statement is true.

Step3: Analyze the third statement

Looking at the \(y = 90\) (test score of 90), the corresponding \(x\) - values (hours of study) are 5 and 7. So, a student who scored 90% did not only study for 5 hours. This statement is false.

Step4: Analyze the fourth statement

The lowest \(y\) - value (test score) is 40, and the corresponding \(x\) - value (hours of study) is 1 (the least amount of studying). So, students who scored the lowest did the least amount of studying. This statement is true.

Answer:

• Students who studied more than 3 hours scored higher than the students who studied less than 3 hours.
• Students who scored the lowest did the least amount of studying.