Question :
Study the above table and answer the question. The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is:
Option 1: 111 : 12
Option 2: 111 : 24
Option 3: 101 : 24
Option 4: 101 : 12
Correct Answer: 111 : 24
Solution : As per the given graph, The total number of students = 600 + 400 + 375 + 350 + 300 = 2025 The number of students scoring marks less than 50% = 270 + 120 + 300 + 220 + 200 = 1110 The number of students scoring marks more than 50% = 600 × 0.55 + 400 × 0.4 + 375 × 0.20 + 350 × 0.1 + 300 × 0.25 = 330 + 160 + 75 + 35 + 75 = 675 The number of students scoring exactly 50% = 2025 – 1110 – 675 = 240 The required ratio = 1110 : 240 = 111 : 24 Hence, the correct answer is 111 : 24.
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