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Mathematics

The mean of x - 2, x, x + 2, x + 4 is :

  1. x + 1

  2. x

  3. 4x + 4

  4. x + 2

Statistics

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Answer

Mean = Sum of all observation Number of all observation \dfrac{\text{Sum of all observation }}{\text{Number of all observation }}

Mean = (x2)+x+(x+2)+(x+4)4\dfrac{(x - 2) + x + (x +2) + (x + 4)}{4}

= x2+x+x+2+x+44\dfrac{x - 2 + x + x +2 + x + 4}{4}

= 4x+44\dfrac{4x + 4}{4}

= x + 1

Hence, option 1 is the correct option.

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