Question

this line plot shows the number of laps students ran in gym class. select the three true statements about the line plot. number of laps most of the students ran more than 3 laps. none of the students ran more than 3 1/2 laps. the same number of students ran 1 lap as ran 2 laps. most of the students ran 2 1/2 laps. the greatest number of students ran 1 1/2 laps.

Explanation:

Step1: Count the number of dots for each lap - value

For 1 lap: 3 dots. For 1.5 laps: 5 dots. For 2 laps: 3 dots. For 2.5 laps: 4 dots. For 3 laps: 2 dots. For 3.5 laps: 1 dot.

Step2: Analyze the statement 'Most of the students ran more than 3 laps'

The number of students who ran more than 3 laps (3.5 laps) is 1. The total number of students is \(3 + 5+3 + 4+2 + 1=18\). Since \(1<18 - 1\), this statement is false.

Step3: Analyze the statement 'None of the students ran more than 3.5 laps'

There is 1 student who ran 3.5 laps, so this statement is false.

Step4: Analyze the statement 'The same number of students ran 1 lap as ran 2 laps'

There are 3 students who ran 1 lap and 3 students who ran 2 laps, so this statement is true.

Step5: Analyze the statement 'Most of the students ran 2.5 laps'

The number of students who ran 2.5 laps is 4. Since \(4<5\) (the number of students who ran 1.5 laps), this statement is false.

Step6: Analyze the statement 'The greatest number of students ran 1.5 laps'

The number of students who ran 1.5 laps is 5, which is the highest among all lap - values, so this statement is true.

Answer:

• The same number of students ran 1 lap as ran 2 laps.
• The greatest number of students ran 1.5 laps.