The table below shows the range of marks scored by a group of 220 students in a competition.
MarksNumber of students
7024
7544
80108
8536
908
20% of the students in this group qualified for the next round. What is the minimum score needed to qualify for the next round?

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Worked solution

14

1. Calculate the number of students who qualified for the next round.

Number of students who qualified = 20%×220=20100×220=4420\% \times 220 = \frac{20}{100} \times 220 = 44

2. Determine the minimum score by counting the top 44 students from the highest marks downwards.

Students scoring 90 marks: 88
Students scoring 85 marks: 3636
Total students scoring 85 or 90 marks = 8+36=448 + 36 = 44
Since exactly 44 students scored 85 or above, the minimum score needed to qualify is 85.

Answer

8585 (option 3)

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