Question

The school board is looking into complaints that some areas of the school are too poorly lit. They are considering replacing the lights. If you were in favor of replacing the lights, which representative value for the school's data would you use to support your position? If you were opposed to replacing the lights, which representative value for the school's data would you choose to support your position? Explain your answer.

Answer 1

To support replacing the lights, the average illumination level in the poorly lit areas can be used. To oppose replacing the lights, the median illuminance in the poorly lit areas can be used.

Step-by-step explanation:

Mathematics

To support the position of replacing the lights, the representative value that can be used is the average illumination level in the poorly lit areas of the school. This can be determined by taking measurements using a lux meter and calculating the mean illuminance. A low average illuminance value would indicate poor lighting conditions and provide evidence for the need to replace the lights.

Mathematics

To oppose the replacement of lights, the representative value that can be used is the median illuminance in the poorly lit areas of the school. The median represents the middle value in a dataset, and in this case, it would indicate that half of the areas have better lighting conditions than the median value. If the median illuminance is relatively high, it could suggest that the lighting conditions are acceptable and do not require replacement.