JAMB Mathematics 2009 Question 46

Question 46

Measures of Dispersion

What is the mean deviation of x, 2x, x + 1 and 3x, if their mean is 2?

  1. A.0.5
  2. B.1.0
  3. C.1.5
  4. D.2.0
Show the answer and explanation

Answer: A (0.5)

Explanation

(7x + 1)/4 = 2 gives x = 1, so the numbers are 1, 2, 2, 3. The absolute deviations from 2 are 1, 0, 0, 1, so the mean deviation = 2/4 = 0.5.