Moderate# 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 $0$.