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The marks of 40 students are recorded in a frequency table. Marks 10: 5 students, Marks 20: 8 students, Marks 30: 12 students, Marks 40: 10 students, Marks 50: 5 students. What is the mean mark?

Competition practiceData & Probability
  • A30
  • B31
  • C29.5
  • D30.5

Step-by-Step Solution

Σfx = 10(5) + 20(8) + 30(12) + 40(10) + 50(5) = 50 + 160 + 360 + 400 + 250 = 1220. Σf = 40, so the mean is 1220 ÷ 40 = 30.5.
Answer: D) 30.5

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