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 ArtsBiologyMean9890Mean Absolute Deviation3.55
The difference between the means is 98 − 90 = 8 points. Compared with the language arts MAD, 8 ÷ 3.5 is about 2.3; compared with the Biology MAD, 8 ÷ 5 is 1.6. Both ratios are approximately 2, so the answer is 2.
AI-written and checked against the verified answer.