Question

Two college students, student A and student B, recorded approximately how much they spent on

food, in dollars, each day for 7 days.
The mean for student A's data set is $22.60, and the mean for student B's data set is $28.60. The
MAD for student A's data set is about $1, and the MAD for student B's data set is $1.20.
Which statement best describes the two data sets in terms of means and mean absolute deviations
(MADS)?
O The difference is not meaningful because the means are separated by about 0.5 MADs.
O The difference is meaningful because the means are separated by about 3 MADs.
O The difference is meaningful because the means are separated by about 5 MADs.
O The difference is not meaningful because the means are separated by about 1 MAD.

Answer 1

The difference is meaningful because the means are separated by about 5 MADs.

Step-by-step explanation:

The difference is meaningful because the means are separated by about 5 MADs.

To determine the meaningfulness of the difference between means, we can compare the difference in means to the MADs. In this case, the difference between the means is $6 (28.60 - 22.60), and the MADs are $1.20 and $1 for student B and student A, respectively. The difference between the means is approximately 5 times the MAD for student B and student A, indicating a significant difference.