The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown in the table. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 3 point 5 in. 2 point 7 in. Mean Absolute Deviation 1 point 2 in. 0 point 5 in. Which expression compares the difference of the two means to this week’s mean absolute deviation?
Answer
A
0 point 8 over 0 point 7
B
2 point 7 over 0 point 7
C
2 point 7 over 0 point 5
D
0 point 8 over 0 point 5
Explanation
The difference between the means is 3.5 − 2.7 = 0.8 inches. This week’s mean absolute deviation is 0.5 inches, so the expression comparing the difference to this week’s deviation is 0.8 over 0.5, choice D.
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