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Mrs. Sippi gives a practice AP test to her two sections of AP Statistics, each with $25$ students. Period F has a minimum of $59$, a median of $81$, a mean of $82$, and a maximum of $98$. Period G (G-Unit) has a minimum of $50$ percent, a median of $77$, a mean of $84$, and a maximum of $96$.

If Mrs. Sippi put all $50$ scores in one dataset and recalculated the minimum, maximum, mean, median, and range, which of the following MUST be true?

A

The new median is $79$ and the new maximum is $98$.

B

The new mean is $83$ and the new range is $48$.

C

The new range is $46$ and the new mean is $83$.

D

The new median is $79$ and the new mean is $83$.

E

The new range is $48$ and the new median is $79$.

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