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The wages (in Rs) of workers in a Surat textile unit are: 200-300 (4 workers), 300-400 (6), 400-500 (10), 500-600 (10), 600-700 (3).
Two classes (400-500 and 500-600) share the highest frequency 10. What is the correct way to fix the modal class here?

Class 10Mode of Grouped DataStatistics and Probability
  • AThe data is bimodal; the standard single-mode formula does not give a unique mode
  • BAlways pick the first such class, 400-500
  • CAlways pick the last such class, 500-600
  • DTake the average of the two class mid-points as the mode

Step-by-Step Solution

When two non-adjacent (or even adjacent) classes have the same maximum frequency, the distribution is bimodal and the usual formula does not yield a single unique mode.
Answer: A) The data is bimodal; the standard single-mode formula does not give a unique mode

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