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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explanation: The document contains a math question along with its answer. The question asks to find the changed mean and standard deviation when each of the 10 observations, originally with a mean of 35 and a standard deviation of 2, is increased by 4. The provided answer is 39 and 2.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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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  0
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question along with its answer. The question asks to find the changed mean and standard deviation when each of the 10 observations, originally with a mean of 35 and a standard deviation of 2, is increased by 4. The provided answer is 39 and 2.
  
  Label: question-and-answer