Inspect each data set below and the statement made about it. Each statement is false. Without making any calculations, determine how you can explain or justify that the statement is false.  

1. “The set of $24, 25, 26$, and $28$ has a mean of $30$.”

   Hint (a):

   Do you think the mean can be greater than all pieces of data?

   More Help (a):

   Remember that the mean of a data set is the average number, but try not to make any calculations!

2. “$15$ is the median of this data set: $12, 14, 15, 13$, and $16.$”

   Hint (b):

   Be sure to check that the number set is in numerical order (from least to greatest)!