Find the mode of the values four,
seven, two, eight, nine, three, four, two, four, eight, six, and eight.
The mode of a data set is the value
that appears most often. We note however that there can be
more than one mode if more than one value appears most often. We can begin this question by
setting up a frequency table containing the value and the frequency. The lowest value from our list was
two, and the highest value was nine. We will, therefore, include the
integer values from two to nine.
The number two appeared twice in
the list. Therefore, it has a frequency of
two. There was one three in the
list. The number four appeared three
times. There were no fives in the
list. So, the frequency of five is
zero. There was one six in the list. The number seven also appeared
once. The number eight was in the list
three times. And finally, there was one nine in
our list of values.
As there were 12 values altogether,
we need to ensure that our frequencies sum to 12. As the frequencies two, one, three,
zero, one, one, three, and one do indeed sum to 12, this is a quick check to ensure
we have used each of the values from our list. As the mode is the value that
appears most often, we are looking for the highest frequency. In this case, this is equal to
three and corresponds to the values four and eight. As both four and eight appear three
times in the list, the mode of this data set is four and eight.