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For a grouped frequency distribution the modal class is . It is also known that the mean is 21 and the median is 22. Using the empirical relation to find the mode, then the modal-class formula, deduce a consistent value of the fraction .

Class 10Mode of Grouped DataStatistics and Probability
  • A0.80
  • B0.50
  • C0.36
  • D0.20

Step-by-Step Solution

Empirical mode = 3*Median - 2*Mean = 3*22 - 2*21 = 66 - 42 = 24 (lies in 20-25, consistent). Mode = + fraction* + fraction*5 => fraction = .
Answer: A) 0.80

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