CMA Intermediate · Financial Management and Business Data Analytics · Data Presentation: Visualisation and Graphical Presentation
The share-price changes of a company over 50 trading days are grouped as follows: 0-10: 5 days, 10-20: 12 days, 20-30: 18 days, 30-40: 10 days, 40-50: 5 days. A 'less than' ogive is drawn. What is the cumulative frequency plotted against the upper limit 30?
In a 'less than' ogive, the cumulative frequency at the upper limit 30 is the total of all classes up to 30, which is 5 + 12 + 18 = 35 days. Using only the 18 of the 20-30 class ignores the earlier classes and is wrong.
- A35Correct
- B18
- C45
- D30
Explanation
A 'less than' ogive plots cumulative frequency at upper class limits. Up to 30: 5+12+18 = 35. Using 18 takes only the single class frequency. 45 is the 'more than' count at 20? No, it is the cumulative up to 40 less 5 error; 30 is the 'more than 30' value minus nothing: 10+5 = 15, so 30 is wrong.
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