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The weekly earnings (in ₹) of 45 auto-rickshaw drivers in Ranchi:
500-1000 -> 5, 1000-1500 -> 9, 1500-2000 -> 14, 2000-2500 -> 10, 2500-3000 -> 7.
Find the median weekly earning (₹).

Class 10Median of Grouped DataStatistics and Probability
  • A1303.57
  • B1803.57
  • C1500.61
  • D1821.43

Step-by-Step Solution

Cumulative: 5, 14, 28, 38, 45, so and . The first cf to reach 22.5 is 28, so the median class is 1500-2000 with , cf = 14, . Median = . Note that cf and happen to be equal here; that is a coincidence of this table, not a rule. 1821.43 uses instead of . 1303.57 uses cf = 28, the cumulative frequency of the median class itself. 1500.61 omits the factor .
Answer: B) 1803.57

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