Multiple choice

If x and y are related as 4x + 3y + 11 = 0 and the mean deviation of x is 2.70, then what is the mean deviation of y?

  1. 7.20

  2. 14.40

  3. 3.60

  4. None of these
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C Correct answer
Explanation

For a linear relation y = ax + b, the mean deviation of y is |a| * (mean deviation of x). Here, 3y = -4x - 11, so y = (-4/3)x - 11/3. The mean deviation of y = |-4/3| * 2.70 = (4/3) * 2.70 = 4 * 0.90 = 3.60.

AI explanation

Rearrange the linear equation to get y = (-4x - 11)/3, so the magnitude of the slope is 4/3. When variables are linearly related, their mean deviations are proportional to this slope magnitude. Therefore, the mean deviation of y is (4/3) multiplied by 2.70, which equals 3.60.

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