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

- $P$ : Adding $7$ to each entry in a list adds $7$ to the mean of the list
- $Q$ : Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list
- $R$ : Doubling each entry in a list doubles the mean of the list
- $S$ : Doubling each entry in a list leaves the standard deviation of the list unchanged

- $\text{P, Q}$
- $\text{Q, R}$
- $\text{P, R}$
- $\text{R, S}$