Question

luana runs laps on the school track at practice. the box plot represents the number of laps she ran each day of practice.

luana’s practice runs
box plot image with number of laps on the x - axis: 8, 10, 12, 14, 16, 18, 20

now applying to the table to show if each statement is “true,” “false,” or if there is “not enough information” provided.

statement	true, false, or not enough information?
luana’s longest run is 16 laps longer than her shortest run.
half of luana’s runs at practice are between 10 and 14 laps

true false not enough information

Explanation:

Statement 1: Luana ran 10 laps during at least 1 practice

The box - plot does not give information about the number of practices. We only know the range of laps. So, there is not enough information to confirm if she ran 10 laps in at least 1 practice.

Statement 2: Luana's longest run is 16 laps longer than her shortest run

The minimum value (shortest run) is 8 and the maximum value (longest run) is 20. The difference is \(20 - 8=12
eq16\). So, this statement is False.

Statement 3: Half of Luana's runs at practice are between 10 and 14 laps

In a box - plot, the box represents the inter - quartile range (IQR), which contains 50% of the data. The lower quartile \(Q_1 = 10\) and the upper quartile \(Q_3 = 14\). So, half of the data (runs) lie between \(Q_1\) and \(Q_3\). This statement is True.

Answer:

Statement	True, False, or Not Enough Information
Luana's longest run is 16 laps longer than her shortest run	False
Half of Luana's runs at practice are between 10 and 14 laps	True