Question

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 theos scores language arts biology mean 98 90 mean absolute deviation 3.5 5 2 28 5 18

Explanation:

Step1: Calculate the difference in means

The mean of Language Arts is \(98\), and the mean of Biology is \(90\). The difference in means is \(98 - 90=8\).

Step2: Calculate the ratio for Language Arts

The mean absolute deviation for Language Arts is \(3.5\). The ratio is \(\frac{8}{3.5}\approx2.29\approx2\).

Step3: Calculate the ratio for Biology

The mean absolute deviation for Biology is \(5\). The ratio is \(\frac{8}{5} = 1.6\approx2\).

Answer:

\(2\)