Multiple choice

X and Y are so related that $2x+y-18 = 0$ and mean deviation about mean of x is $3.5$ find mean deviation about mean with respect of y____.

  1. $6.07$
  2. $6.71$
  3. $7.00$
  4. $6.01$
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C Correct answer
Explanation

If y = ax + b, the mean deviation of y is |a| * (mean deviation of x). Here, y = -2x + 18. The coefficient of x is -2, so the mean deviation of y is |-2| * 3.5 = 2 * 3.5 = 7.00.

AI explanation

From the equation 2x + y - 18 = 0, express y as y equals 18 minus 2x. Since mean deviation is unaffected by change of origin but scales by the absolute coefficient, the mean deviation of y is 2 times the mean deviation of x. Calculate 2 multiplied by 3.5 to get the result. The mean deviation about the mean for y is 7.00.

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