Question

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

Means and Mean Absolute Deviations of
Sidney’s and Phil’s Grades

Sidney
Phil
Mean
82
78
Mean Absolute Deviation

3.28

3.96

Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
82 / 3.28
4 / 3.28
4 / 0.68
82 / 0.68

Answer 1

Answer:

Based on the given table, the mean grade of Sidney is 82, and the mean grade of Phil is 78. Moreover, the mean absolute deviation of Sidney is 3.28, and the mean absolute deviation of Phil is 3.96

Answer 2

Option 2 is correct. The ratio of the difference between the two means and Sidney’s mean absolute deviation is 4/3.28.

Given:

the mean value of Sidney's grades = 82

the mean value of Phil's grades = 78

the mean absolute deviation of Sidney's grades = 3.28

the mean absolute deviation of Phil's grades = 3.28

To Find:

the ratio of the difference between the two means and Sidney’s mean absolute deviation

Solution:

the difference between the mean grades of Sidney and Phil = 82 - 78 = 4

the ratio of the difference to Sidney's mean absolute deviation = 4/3.28

Thus, the ratio of the difference between the two means and Sidney’s mean absolute deviation is 4/3.28.

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