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

A frequency distribution uses the inclusive classes 15-19, 20-24, 25-29 and 30-34. What are the true (exclusive) limits of the class 20-24?

The true limits are 19.5 to 24.5. The gap between consecutive inclusive classes is 1, so half of it, 0.5, is subtracted from the lower limit 20 and added to the upper limit 24 to make the classes continuous.

  1. A19.5-24.5Correct
  2. B20-25
  3. C19-24
  4. D20.5-23.5

Explanation

The gap between the upper limit 19 and next lower limit 20 is 1. Half of it is 0.5, which is subtracted from lower limits and added to upper limits. So 20-24 becomes 19.5-24.5. Option 20-25 ignores the correction on the lower limit.

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