Hannah has the following data: 12, 10, four, eight, 16, 𝑚. If the mode is 12, which number could 𝑚 be?
The first thing we want to do is remember the definition of mode. The mode of a data set is the number that occurs most frequently. Hannah has the following data: 12, 10, four, eight, 16, and then a missing value. But we know that the mode of this data is 12. 12 is the number that occurs most frequently.
In the data set, 10 occurs once, four occurs once as does eight, 16, and 12. In order for 12 to be the mode, it needs to occur more than the others. And that would mean 𝑚 must be 12. If 𝑚 is 12, then 12 occurs twice in the data set. And all the other values only occur once. If the mode is 12, 𝑚 must be 12.