Problem #2
Twenty-two students from the junior class and
twenty-six students from the senior class at
River City High School participated in a
walkathon to raise money for the school's band.
Dot plots indicating the distances in miles
students from each class walked are as follows.
1. Without doing any computations, which
data set would have the greater mean (average) distance walked? Explain how you know. Again,
without computing, explain what this mean (average) distance would mean in this context.
2. Without doing any computations, which data set would have the greater MAD value? Explain how you
know. Again, without computing explain what this MAD value would mean in this context.
3. Now, we consider the twenty-five sophomores who participated in the walkathon. A dot plot showing
their reported results is shown. Choose the most accurate statement below by circling the appropriate
letter.
A. The mean (average) number of miles walked by Sophomores is the same as the mean (average)
number of miles walked by Seniors.
B. The mean (average) number of miles walked by Sophomores is the greater than the mean (average)
number of miles walked by Seniors.
C. The mean (average) number of miles walked by Sophomores is the less than the mean (average)
number of miles walked by Seniors.
D. The mean (average) number of miles walked by Sophomores cannot be determined.
