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What is the mean deviation of x, 2x, x+1 and 3x. If their mean is...

Mathematics
JAMB 2009

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

  • A. 0.5
  • B. 1.0
  • C. 1.5
  • D. 2.0
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Correct Answer: Option A
Explanation
x x x-\(\overline{X}\) /x-\(\overline{X}\)/
x 1 -1 1
2x 2 0 0
x+1 2 0 0
3x 3 1 1
      ∑/x-\(\overline{X}\)/ = 2

 

Mean(\(\overline{X}\)) = \(\frac{ x + 2x + x + 1 + 3x}{4}\) = 2

2 = \(\frac{7x + 1}{4}\)

8 = 7x + 1

7x = 8 - 1 = 7

x = \(\frac{7}{7}\) = 1

Mean deviation = \(\frac{∑(| x - \overline{X}|)}{n}\)

M.D = \(\frac{2}{4}\) = \(\frac{1}{2}\) = 0.5

 

There is an explanation video available below.


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Explanation Video

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