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A.

The median of $S^{'}$ is $c \times (median of S) + k$ , and the range of $S^{'}$ is $c \times (range of S)$ .

B.

The median of $S^{'}$ is $c \times (median of S)$ , and the range of $S^{'}$ is $c \times (range of S) + k$ .

C.

The median of $S^{'}$ is $c \times (median of S) + k$ , and the range of $S^{'}$ is $(range of S) + k$ .

D.

The median of $S^{'}$ is $c \times (median of S)$ , and the range of $S^{'}$ is $(range of S)$ .