Inspect each data set. Without making a calculation , decide if each statement about the data set is true or false. Explain how you decided.

1. True or False: "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 make any calculations!

2. True or False: "The set of $0,12,3,$ and $4$ has no mode."

   Hint (b):

   Reminder: the mode is the number most repeated in the data set. Can you find any numbers that are the same?

   Answer (b):

   True. Make sure to explain your reasoning!

3. True or False: "$15$ is the median of this data set: $12,14,15,13,$ and $16$."

   Hint (c):

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

4. True or False: "$5$ is the mode of $0,2,2,3,4,5$ because it has the greatest value."

   Hint (d):

   Refer to the definition of mode in part (b) and make sure to check your work!

   Answer (d):

   False. Can you explain why?