The average of five consecutive numbers is x If the next…

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The average of five consecutive numbers is x. If the next two numbers are included, how shall the average vary?

  1. A. It shall increase by 1
  2. B. It shall remain the same
  3. C. It shall increase by 1.4
  4. D. It shall increase by 2

Answer: Option A

Here is complete explanation of The average of five consecutive numbers is x If the next….

Solution(By ExamCraze Team)

Let the five consecutive numbers be z, z + 1, z + 3 and z + 4
Then,
$$ Rightarrow frac{{z + left( {z + 1} right) + left( {z + 2} right) + left( {z + 3} right) + left( {z + 4} right)}}{5} = x$$
$$eqalign{ & Rightarrow 5z + 10 = 5x cr & Rightarrow z = frac{{5x - 10}}{5} cr & Rightarrow z = x - 2 cr} $$
So, the numbers are x - 2, x - 1, x, x + 1, x + 2
∴ Required mean
$$ = frac{{left( {x - 2} right) + left( {x - 1} right) + x + left( {x + 1} right) + left( {x + 2} right) + left( {x + 3} right) + left( {x + 4} right)}}{7}$$
$$eqalign{ & = frac{{7x + 7}}{7} cr & = x + 1 cr} $$

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