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The number of e-mails received per day by each of 70 employees of a firm, with the cumulative frequency column already filled in:
0-25 -> cf 9, 25-50 -> cf 23, 50-75 -> cf 41, 75-100 -> cf 58, 100-125 -> cf 70.
Which class is the median class?

Class 10Median of Grouped DataStatistics and Probability
  • A50-75
  • B25-50
  • C75-100
  • D100-125

Step-by-Step Solution

The last cumulative frequency is , so and . Read down the cf column for the first entry that reaches 35: 9, then 23, then 41. So the median class is 50-75. Choosing 25-50 stops at cf 23, the row just BELOW — that row supplies the value of cf for the formula, it is not the median class itself. 75-100 counts one row too far, and 100-125 is where the cf reaches , not .
Answer: A) 50-75

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