CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
A frequency distribution of daily sales (in ₹ thousand) of a Kolkata retail shop has class intervals 10-20, 20-30, 30-40, 40-50 and 50-60 with frequencies 4, 9, 15, 8 and 4. A frequency polygon is drawn by joining the points plotted against class mid-points. Which pair of coordinates (mid-point, frequency) is on the polygon for the modal class?
The point is (35, 15). The class 30-40 has the highest frequency of 15, and a frequency polygon plots frequencies against class mid-points, so the x-value is (30+40)/2 = 35. Using the lower limit 30 would be wrong.
- A(30, 15)
- B(35, 15)Correct
- C(40, 15)
- D(35, 8)
Explanation
The modal class is the one with the highest frequency, 30-40 with frequency 15. Its mid-point is (30+40)/2 = 35. So the point is (35, 15). Option (30, 15) uses the lower limit instead of the mid-point.
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