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Mean, Median, and Mode

SATSTM-1KMF7X

If a list of $8$ numbers has a sum of zero, then which of the following statements must be true about the list?

$\text{I.}$ The mode of the list of numbers is $0$.
$\text{II.}$ The mean of the list of numbers is $0$.
$\text{III.}$ The median of the list of numbers is $0$.

A

$\text{I only}$

B

$\text{II only}$

C

$\text{III only}$

D

$\text{I, II, and III}$

E

$\text{None}$