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

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
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  • A 0.5
  • B 1.0
  • C 1.5
  • D 2.0
Correct Answer: Option A
Explanation:
x ∴x x-X /x-X/
x 1 -1 1
2x 2 0 0
x+1 2 0 0
3x 3 1 1
∑/x-X/=2



Mean = x+2x+x+1+3x
____4



2 = 7x+1
_4




8 = 7x+1
7x = 8-1
7x = 7
x = 1Mean deviation = ∑/x-X/
__n



= 2
4



= 1
2




= 0.5

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