text: Question
  
  # The mean and standard deviation of $$10$$ observations are $$35$$ and $$2$$ respectively. Find the changed mean and standard deviation if each observation is increased by $$4$$.
  
  A
  39 & 6
  B
  2 & 39
  C
  39 & 2
  D
  6 & 39
  
  Solution
  
  ## The correct option is B $$39$$ & $$2$$When each observation is increased by $$4$$, the mean of the changed observations will also increase and it will become equal to $$35+4=39$$.Since increment in all observations by a constant does not change the standard deviation. Thus, the mean and standard deviation when each observation is increased by $$4$$ would be $$39$$ and $$2$$ respectively.Economics
  
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