Theo recorded the means and mean absolute deviations of his language arts and Biology scores. He found the difference in the means of the scores of the two subjects. What is the approximate ratio of the difference in the means to each of the mean absolute deviations? Means and Mean Absolute Deviations of Theo’s Scores Language Arts Biology Mean 98 90 Mean Absolute Deviation 3 point 5 5
The difference between the means is 98 − 90 = 8 points. Dividing 8 by the Language Arts mean absolute deviation gives 8 ÷ 3.5 ≈ 2.3, and dividing by the Biology mean absolute deviation gives 8 ÷ 5 = 1.6. Both ratios are approximately 2, so the answer is 2.
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