Video Transcript
What is the mode of the following numbers: three, nine, two, two, two, nine?
In this question, we are asked to find the mode of a list of six given numbers. To answer this question, we can start by recalling that the mode of a data set is the
element that appears the most often. We can also think of this as the element with the highest frequency. Since there are only six elements in the data set, we can check the number of times
each value appears by hand.
First, we can see that three only appears once. Second, we can see that the value of nine appears two times. Third, we see that the value of two appears three times. Although it is not necessary to do this to answer this question, we can also write
this information in a frequency table. The first row tells us the values in the data set, and the second row tells us their
frequencies.
We can check that the sum of the frequencies is equal to the number of elements in
the data set to make sure that we have accounted for every element. In this case, we have three plus one plus two equals six, which is the number of
values in the list.
Finally, we see in the table that the value of two has the greatest frequency. So we can conclude that two is the mode of the data set.
