Question Video: Completing a Grouped Frequency Table According to Given Data Mathematics

Using the data given for number of absences, complete the frequency table.


Video Transcript

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 eight.

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.

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