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The typing speed (words per minute) of 60 trainees at a Mysuru institute:
20-30 -> 7, 30-40 -> 11, 40-50 -> 12, 50-60 -> 16, 60-70 -> 14.
Find the median typing speed.

Class 10Median of Grouped DataStatistics and Probability
  • A40
  • B47.5
  • C50
  • D55

Step-by-Step Solution

Cumulative frequencies: 7, 18, 30, 46, 60, so and . Here lands exactly on a cumulative total, so the median sits on the shared boundary 50 and either reading of the median class gives the same value. Taking 50-60 (first cf strictly greater than 30): . Taking 40-50 (first cf reaching 30): . The distractor 40 comes from pairing with cf = 30, the cumulative frequency of that class ITSELF rather than of the class before it. 47.5 mixes rows the other way, keeping and cf = 18 but taking from the next class. 55 is the class mark of 50-60, and a class mark is not a median.
Answer: C) 50

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