Question : Directions: The marks obtained by 273 examinees are shown by the frequency polygon. Given that the mean mark is 59.5. Study the frequency polygon and answer the given questions.
If 40 is the passing mark, the percentage of students who failed is:
Option 1: 14.56
Option 2: 15.84
Option 3: 16.11
Option 4: 17.25
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Correct Answer: 16.11
Solution :
As per the given graph,
The number of students who got 40 marks = 2 + 4 + 12 + 26 = 44
The total number of students = 2 + 4 + 12 + 26 + 35 + 42 + 72 + 48 + 24 + 8 = 273
$\therefore$ The required percentage
$=\frac{\text{The number of students who got 40 marks}}{\operatorname{The total number of students}} × 100=\frac{44}{273}× 100 = 16.11\%$
Hence, the correct answer is 16.11.
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