Question

tara made this line graph to show the grades that she got on all of her quizzes, in the order that she took them to track her progress during the semester.
which of these statements about this graph is (are) true?
i taras last four quiz scores were the same.
ii taras quiz scores have continually improved.
iii tara has not had a quiz score lower than 60.
iv taras mode score is an 80.
i only
i and iii
i and iv
i, iii, iv

Explanation:

Step1: Analyze statement I

The last four quiz scores are \( 80,70,80,90 \). Since \( 80 \) appears twice (more frequently than other scores), the mode is \( 80 \). So statement I is true.

Step2: Analyze statement II

Looking at the graph, the scores do not continually improve. For example, after \( 60 \) (score), it goes to \( 70 \) then down to \( 60 \) again. So statement II is false.

Step3: Analyze statement III

Looking at all the scores, there is no score lower than \( 60 \). So statement III is false.

Step4: Analyze statement IV

The mode (most - frequent score) is \( 80 \). So statement IV is true.

Answer:

I and IV