Question

1. based on the following graph, a counselor concluded that the number of students enrolled in ap precalculus was more than double the number of students enrolled in ap statistics. do you agree? explain.
2. in the following graph, it appears that toyota has sales that are more than 4 times as big as sales from ford or honda. explain why this is misleading.

Explanation:

Step1: Estimate AP Stats enrollment

From the bar - graph, the frequency of students in AP Stats is approximately 120.

Step2: Estimate AP Pre - calc enrollment

The frequency of students in AP Pre - calc is approximately 170.

Step3: Calculate double of AP Stats enrollment

Double of AP Stats enrollment is $2\times120 = 240$.

Step4: Compare

Since $170<240$, the number of students in AP Pre - calc is not more than double the number of students in AP Stats.

Step5: Analyze the car sales graph

The graph uses three - dimensional car shapes to represent sales. The visual size of the cars can be misleading. The height of the Toyota car shape is about 4 times the height of the Ford and Honda car shapes. But when considering sales data, we should look at the actual values on the y - axis. The y - axis shows that Toyota's sales are around 8 million, while Ford and Honda's sales are around 4 million. So Toyota's sales are only about 2 times Ford or Honda's sales, not more than 4 times. The 3D visual makes the difference seem larger than it is in actual numerical values.

Answer:

1. No. The number of students in AP Pre - calc is not more than double the number of students in AP Stats.
2. The 3D visual of the car shapes in the graph makes the difference in sales seem larger than the actual numerical difference. The y - axis values show that Toyota's sales are only about 2 times Ford or Honda's sales, not more than 4 times.