If the mean of 4 observations is 20 when a constant…

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If the mean of 4 observations is 20, when a constant ‘c’ is added to each observation, the mean becomes 22. The value of c is :

  1. A. 6
  2. B. $$ – $$ 2
  3. C. 2
  4. D. 4

Answer: Option C

Here is complete explanation of If the mean of 4 observations is 20 when a constant….

Solution(By ExamCraze Team)

Let the four observations are = a, b, d, e
According to the question,
$$frac{a + b + e + d}{4}$$   = 20.....(i)
$$frac{a + c + b + c + e + c + d + c}{4}$$     = 22
$$frac{4c + (a + b + e + d)}{4}$$     = 22
$$frac{4c}{4}$$ + 20 = 22
c = 2

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