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 below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 19.7 cm19.3 cmMean Absolute Deviation4.6 cm5.2 cmThe difference in the mean rainfall is approximately what percent of the mean absolute deviation of the this week’s rainfall?
The difference between the weekly mean rainfalls is 19.7 − 19.3 = 0.4 cm. Compare this with this week’s mean absolute deviation: (0.4 ÷ 5.2) × 100% ≈ 7.7%, which rounds to 8%. So the difference is approximately 8% of the mean absolute deviation.
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