Video: Finding the Mode of a Data Set

The table shows the number of books that 30 students read in a year. Find the mode number of books read.

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Video Transcript

The table shows the number of books that 30 students read in a year. Find the mode number of books read.

We know that the mode of a data set is the value which appears the most often. In this question, we need to find the most common number of books read out of the 30 students. One way to do this is to set up a frequency table. Our frequency table in this question would have two rows: the number of books and the frequency. The least number of books read was one and the most was 10. Therefore, this row contains the integers from one to 10.

There were two students that read one book in the year. Two students also read two books. There were three students that read three books. Four students read four books. Two of the students read five books. There were three students that read six books. Three students read seven books. Eight read eight books, two read nine books, and one student read 10 books. As there were 30 students in total, we need to check that our frequencies sum to 30. This is a quick check that ensures we have used each item from the data set.

As the mode is the number that appears most often, we are looking for the highest frequency; this is eight. The frequency of eight corresponds to eight books. Therefore, the mode number of books read by the 30 students is eight. It is important in this question that our answer is given in terms of books read.

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