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The mean marks of a grouped distribution of 100 students is 62. A correction reveals that one class's frequency was recorded as 20 (class mark 45) but should have been 30 (class mark 45), and another class's frequency 25 (class mark 75) should have been 15 (class mark 75); the total stays 100.
What is the corrected mean?

Class 10Mean of Grouped DataStatistics and Probability
  • A53
  • B59
  • C118
  • D65

Step-by-Step Solution

Change in sum fi*xi: first class gains ; second class loses . Net change = 450 - 750 = -300. New sum fi*xi = 62*100 - 300 = 6200 - 300 = 5900. Corrected mean = .
Answer: B) 59

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