Question

this line plot shows data about trails in a state park. what is true about the data in this line plot? four trails are 3 kilometers long. the longest trail is exactly 3 kilometers long. more than half the trails are 4 1/2 kilometers or shorter. half the trails are 4 1/2 kilometers or longer.

Explanation:

Step1: Count total number of trails

Count all the dots on the line - plot. There are 3 + 8+ 4 + 2+ 7+ 5+ 3 = 32 trails.

Step2: Check the statement about 3 - kilometer - long trails

Count the number of dots above 3 on the line - plot. There are 8 dots, so the statement "Four trails are 3 kilometers long." is false.

Step3: Check the statement about the longest trail

The right - most value on the line - plot is 6 kilometers. So the statement "The longest trail is exactly 3 kilometers long." is false.

Step4: Check the statement about trails 4.5 kilometers or shorter

Count the number of dots at 2.5, 3, 3.5, 4, and 4.5. There are 3 + 8+ 4 + 2+ 7=24 dots. Since 24>32/2 = 16, the statement "More than half the trails are 4.5 kilometers or shorter." is true.

Step5: Check the statement about trails 4.5 kilometers or longer

There are 5 + 3=8 dots at 5, 5.5, and 6. Since 8<16, the statement "Half the trails are 4.5 kilometers or longer." is false.

Answer:

More than half the trails are 4$\frac{1}{2}$ kilometers or shorter.