Question Video: Reading Data from a Grouped Frequency Table Mathematics

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

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Video Transcript

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

This question contains a grouped frequency table showing the number of marks that 44 students achieved in a mathematics test. We are asked to calculate the number of students that scored less than 45 marks.

The first column shows those students that achieved 20 to 24 marks. All of these students achieved less than 45 marks. The same is true for the groups 25 to 29, 30 to 34, 35 to 39, and 40 to 44. These five groups contain seven, eight, two, five, and six students, respectively. This means that the number of students who achieved less than 45 marks is equal to seven plus eight plus two plus five plus six, which is equal to 28. There are 28 students that scored less than 45 marks in the mathematics test.

Whilst it is not required in this question, we can also see that 16 students achieved a mark of 45 or greater, giving us a total of 44 students.