Question

The distributions of attendance at basketball games and volleyball games at your school are symmetric. Your friend makes a conclusion based on the calculations shown below. Is your friend correct? Explain your reasoning.

Answer 1

Step 1: Volleyball Game attendance:
Mean = $80$
MAD = $20$

Step 2: Basketball Game attendance:
Mean = $160$
MAD = $20$

Step 3: The difference in means is $4$ times the MAD, so attendance at basketball games is significantly greater than the attendance at volleyball games. Since the MAD is “large”, it implies that the mean of $160$ is not a reliable indicator of the other values within the data set

Final Answer: No, my friend is not correct.