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On an AP Statistics test, the mean was $77$, with a standard deviation of $10$.

If the teacher adds $5$ points to each score, what will be the new mean and standard deviation?

A

Mean: $77$
Standard Deviation: $10$

B

Mean: $77$
Standard Deviation: $15$

C

Mean: $82$
Standard Deviation: $10$

D

Mean: $82$
Standard Deviation: $13$

E

Mean: $82$
Standard Deviation: $15$

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