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The runs scored by 50 players in a local tournament are grouped with inclusive classes:
0-9 -> 6, 10-19 -> 11, 20-29 -> 15, 30-39 -> 12, 40-49 -> 6.
Find the median runs, using the true (continuous) boundaries.

Class 10Median of Grouped DataStatistics and Probability
  • A14.83
  • B24.3
  • C25.33
  • D24.83

Step-by-Step Solution

Cumulative: 6, 17, 32, 44, 50, so and . The first cf to reach 25 is 32, so the median class is 20-29. The gap between classes is , so subtract 0.5: the continuous class is 19.5-29.5, giving and . Median = . 25.33 skips the boundary correction and uses , landing exactly 0.5 too high. 24.3 uses (from ), forgetting that the corrected class really spans 10 units. 14.83 uses cf = 32, the median class's own cumulative frequency.
Answer: D) 24.83

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