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The amounts (in ₹ lakh) of 80 loans sanctioned by a bank branch, grouped in unequal classes:
0-5 -> 9, 5-10 -> 13, 10-20 -> 24, 20-40 -> 20, 40-80 -> 14.
Find the median loan amount (₹ lakh).

Class 10Median of Grouped DataStatistics and Probability
  • A13.75
  • B17.5
  • C15
  • D25

Step-by-Step Solution

Cumulative: 9, 22, 46, 66, 80, so and . The first cf to reach 40 is 46, so the median class is 10-20 with , cf = 22, and its own width . Median = , i.e. ₹17.5 lakh. 13.75 borrows from the first classes and 25 borrows from the next class — with unequal widths you must use the median class's own width. 15 is the class mark of 10-20.
Answer: B) 17.5

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