Question

Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation

Answer 1

The ratio of the difference of the two means to Sidney's mean absolute deviation =
`(4)/(3.28)` = 1.2195

Explanation:

P.S - The exact question is -

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

Sidney’s Grades Phil’s Grades

Mean 82 78

Mean Absolute Deviation 3.28 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

Mean of Phil's Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation =
`(4)/(3.28)` = 1.2195