Using the data given for number of
absences, complete the frequency table.
In this question, we are given 32
items of data in a table. These correspond to the number of
absences, and we are asked to use these values to complete the frequency table
below. The first column in the grouped
frequency table corresponds to one or two absences. We note that one appears twice and
two appears four times in the data set. Since two plus four is equal to
six, the first frequency is six. The next column is for three or
four absences. And from the data set, we see that
three appears twice and four appears once. Two plus one is equal to three, so
the second frequency is three.
Repeating this process, we observe
that there are three fives and two sixes. So the third frequency is three
plus two, which is equal to five. There are five sevens and five
eights. So the next entry in the frequency
table is 10. Finally, there are four nines and
four 10s. So the final entry in our table is
At this stage, it is worth checking
that our frequencies sum to 32, the total number of data values. Since this is true, we can conclude
that the correct frequencies are six, three, five, 10, and eight, respectively.