Video: Data Sets with More Than One Mode

Find the mode of the values 4, 7, 2, 8, 9, 3, 4, 2, 4, 8, 6, 8.

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Video Transcript

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.

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