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The following numbers represent at a set of scores for a class of 32 students,...

Mathematics
WAEC 1998

The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?

  • A. 34%
  • B. 35%
  • C. 37%
  • D. 39%
  • D. 36%
  • E. 38%
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Correct Answer: Option D
Explanation

\(\text{There are 33 scores in total. Hence, the class size is: } n = 33\)

\(\text{Scores greater than 6 are: } 7, 8, 9, 10, 11, 12.\)
\(\text{Number of students who scored above 6: } f = 12\)

\(\text{Fraction of students who scored above 6: } \frac{f}{n} = \frac{12}{33}\)

\(\text{Convert the fraction to percentage: } \frac{12}{33} \times 100 = 36.36\%\)

\(\text{Rounded to the nearest whole number: } 36\%\)
 


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