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The duration (in minutes) of 120 calls handled at a Nashik call centre:
0-4 -> 18, 4-8 -> 26, 8-12 -> 32, 12-16 -> 28, 16-20 -> 16.
Find the median call duration (minutes).

Class 10Median of Grouped DataStatistics and Probability
  • A6
  • B8.5
  • C10.46
  • D10

Step-by-Step Solution

Cumulative: 18, 44, 76, 104, 120, so and . The first cf to reach 60 is 76, so the median class is 8-12 with , cf = 44, . Median = minutes. 8.5 forgets to multiply by (it adds only the fraction ). 6 uses cf = 76, the cumulative frequency of the median class itself. 10.46 uses , the frequency of the preceding class.
Answer: D) 10

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