The table shows the marks out of 10 that students scored in a test. How many students scored higher than the modal mark?
So this table has two rows. The first row gives us the mark out of 10 and the second row the frequency; that is, how many students scored that particular mark.
We’re asked to determine how many students scored higher than the modal mark. The modal mark is the mark scored by the greatest number of students; that is, the mark with the highest frequency.
Looking at the frequency row, we can see that the highest frequency is 18 and the mark associated with this is seven. So the modal mark is seven. To work out how many students scored higher than the modal mark of seven, we need to add together the frequencies for the scores of eight, nine, and 10.
12 students scored eight marks, 10 scored nine marks, and five scored 10 marks. The sum of the three frequencies 12, 10, and five is 27. 27 students scored higher than the modal mark.