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.
The percentage of the students who got marks above 60% and below 80% is:
Option 1: 43.95
Option 2: 48.39
Option 3: 16.11
Option 4: 56.84
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Correct Answer: 43.95
Solution :
As per the given graph,
The number of students who got marks above 60% and below 80% = 72 + 48 = 120
The total number of students = 2 + 4 + 12 + 26 + 35 + 42 + 72 + 48 + 24 + 8 = 273
$\therefore$ The required percentage
$=\frac{\text{The number of students who got marks above 60% and below 80%}}{\operatorname{The total number of students}} × 100 = \frac{120}{273} × 100 = 43.95\%$
Hence, the correct answer is 43.95.
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