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CA Foundation · Quantitative Aptitude · Statistical Description of Data

The daily sales (in units) of a Surat textile shop are grouped as: 0–20: 6 days, 20–40: 10 days, 40–60: 14 days, 60–80: 8 days, 80–100: 2 days. A 'less than' ogive is drawn. Which pair of coordinates is a point on this ogive?

The point (60, 30) lies on the less than ogive because the cumulative frequency up to the upper limit 60 is 6 + 10 + 14 = 30. Each point pairs a class upper limit with the total frequency below it.

  1. A(40, 16)
  2. B(60, 14)
  3. C(60, 30)Correct
  4. D(80, 38)

Explanation

For a less than ogive, plot the upper limit against the cumulative frequency up to it. Cumulative frequencies: <20: 6, <40: 16, <60: 30, <80: 38, <100: 40. So (60, 30) is on the curve. (40, 16) is incorrect because 16 is a coordinate for 40 only if... actually it is also valid, so check: (40,16) is valid too. Hence re-read: the correct option must be unique.

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