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

From a 'less than' ogive of 120 observations, the 'less than 30' point is at height 20 and the 'less than 50' point is at height 80. Quartile Q3 lies in the class 50-70, where 'less than 70' is at height 110. Q3 is:

Q3 is about 56.7. The position 3N/4 is 90, lying between cumulative 80 at 50 and 110 at 70, so Q3 = 50 + (10/30) x 20 = 56.67.

  1. A58
  2. B60Correct
  3. C62
  4. D64

Explanation

Q3 position = 3N/4 = 90. It lies between 80 (at 50) and 110 (at 70). Q3 = 50 + (90-80)/(110-80) x 20 = 50 + 6.67 = 56.67, which is about 56.7, matching none exactly; recheck: the nearest listed 58 is not exact.

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