The mean grades of 30 students in both math and science is 85. if the mean absolute deviation of the grades in math is 1 and the mean absolute deviation for the grades in science is 8, which of the following statements is true?

a. the students scored higher grades in math than in science.
b. the grades of the students in science are a lot closer to 85 than the grades of the students in math.
c. the grades of the students in math are a lot closer to 85 than the grades of the students in science.
d. the students scored lower grades in math than in science.

Options C is correct

Step-by-step explanation:

Given that The mean grades of 30 students in both math and science is 85

But mean absolute deviation i.e. the sum of absolute values of deviations for Math is 1 but for Science is 8.

This implies that

C) The grades of the students in math are a lot closer to 85 than the grades of the students in science.

Option A cannot be right because only absolute deviation is more hence can be either lower or higher.

On the same grounds Option D is also wrong.

Option B is wrong because Science has more absolute mean deviation

Only option C is right.