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.
