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

Theo’s Scores




Language Arts


Biology



Mean


98


90



Mean Absolute Deviation



3.5



5





a.2


b.5


c.18


d.28

Answer 1

The answer is actually A.2 because I just took the test.

Answer 2

Option: a is the correct answer.

a. 2

Explanation:

We are given a table for the mean and mean absolute deviations as:

Language Arts Biology

Mean 98 90

Mean Absolute Deviation 3.5 5

Hence, the difference in the mean is:

98-90=8

Now we calculate the ratio of difference in mean with each of the mean absolute deviation score.

1)

`(8)/(3.5)=2.286`

which is approximately equal to 2.

2)

`(8)/(5)=1.6`

which is also approximately equal to 2.

Hence, the approximate ratio of the difference in the means to each of the mean absolute deviations is: 2