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The daily footfall (number of visitors) at 80 shops in a market is given as a 'more than' table:
more than 100 -> 80, more than 200 -> 68, more than 300 -> 47, more than 400 -> 25, more than 500 -> 9.
Find the median footfall.

Class 10Median of Grouped DataStatistics and Probability
  • A231.82
  • B300.32
  • C331.82
  • D333.33

Step-by-Step Solution

Subtract each 'more than' entry from the one above it to get the ordinary frequencies: 12, 21, 22, 16, 9 for the classes 100-200, 200-300, 300-400, 400-500, 500-600 (total ). Now build the ordinary cumulative column: 12, 33, 55, 71, 80. With the first cf to reach 40 is 55, so the median class is 300-400 with , cf = 33, . Median = visitors. 231.82 uses cf = 55, the median class's own cumulative frequency. 333.33 uses , the frequency of the preceding class. 300.32 drops the factor .
Answer: C) 331.82

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