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?