Question

1. higher order thinking mr. lees two environmental science classes recycled cans over nine months. which statement is true when drawing inferences in comparing the data in a double line graph? a the range of both classes are equal, but the iqr of the morning class is lower, so the morning class was more consistent with less variability. b the range of both classes are equal, but the iqr of the afternoon class is lower, so the afternoon class was more consistent with less variability. c the range and iqr of both classes are equal so they have the same variability. d the morning class has more variability because its median is higher than the afternoon class. monthly number of cans recycled 280 260 240 220 200 180 160 140 120 100 0 1 2 3 4 5 6 7 8 9 month morning class afternoon class

Explanation:

Step1: Recall variability concepts

Range and IQR (Inter - Quartile Range) measure variability. Lower IQR means less variability.

Step2: Analyze the statements

We need to check each statement about range and IQR of the two classes.

Step3: Evaluate option A

If range is equal and morning class has lower IQR, it is more consistent. But we need to check graph.

Step4: Evaluate option B

If range is equal and afternoon class has lower IQR, it is more consistent. Check graph for this.

Step5: Evaluate option C

If range and IQR are equal, variability is same. Check graph.

Step6: Evaluate option D

Median is not a measure of variability, so this option is incorrect.

Step7: Analyze the graph

By observing the double - line graph, we find that the range of both classes is equal, and the IQR of the afternoon class is lower.

Answer:

B. The range of both classes are equal, but the IQR of the afternoon class is lower, so the afternoon class was more consistent with less variability.