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The weights (in grams) of 150 tomatoes graded at a mandi:
40-60 -> 22, 60-80 -> 31, 80-100 -> 42, 100-120 -> 33, 120-140 -> 22.
Find the median weight (g).

Class 10Median of Grouped DataStatistics and Probability
  • A90.48
  • B70.48
  • C80.52
  • D94.19

Step-by-Step Solution

Cumulative: 22, 53, 95, 128, 150, so and . The first cf to reach 75 is 95, giving median class 80-100 with , cf = 53, . Median = g. 70.48 uses cf = 95, the median class's own cumulative frequency, which makes the correction negative. 80.52 leaves out the factor . 94.19 uses , the frequency of the class before the median class.
Answer: A) 90.48

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