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Which of the following assertions are $\textbf{CORRECT}$?

  1. Adding $7$ to each entry in a list adds $7$ to the mean of the list.
  2. Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list.
  3. Doubling each entry in a list doubles the mean of the list.
  4. Doubling each entry in a list leaves the standard deviation of the list unchanged.

 

  1. $I,II$
  2. $II,III$
  3. $I,III$
  4. $III,IV$

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