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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data

Weekly wages (₹) of workers in a Surat factory are grouped with inclusive classes: 500-599, 600-699, 700-799 and 800-899. To draw a histogram, the classes must first be made continuous. What are the true class boundaries of the class 600-699?

The true class boundaries are 599.5-699.5. For inclusive classes, half the gap between one class's upper limit and the next lower limit, which is 0.5, is subtracted from the lower limit and added to the upper limit, making the classes continuous for the histogram.

  1. A599.5-699.5Correct
  2. B600.5-699.5
  3. C599-700
  4. D600-700

Explanation

The gap between 599 and 600 is 1, so half of it, 0.5, is subtracted from each lower limit and added to each upper limit. The class 600-699 becomes 599.5-699.5. The option 600-700 changes only the upper limit and does not apply the correction correctly.

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