ACCA Applied Knowledge · Management Accounting · Presenting information
A histogram is drawn from the following frequency distribution of delivery times. Class 0 to under 10 minutes: frequency 20 (class width 10). Class 10 to under 30 minutes: frequency 60 (class width 20). Taking the 0 to under 10 class as the standard width of 10, what is the correct frequency density (height) to plot for the 10 to under 30 class?
The height to plot is 30. The class 10 to under 30 is twice as wide as the standard class of 10, so its frequency of 60 is divided by 2. This keeps the area of the bar proportional to the frequency.
- A60
- B30Correct
- C6
- D3
Explanation
The class width is twice the standard width, so the frequency is divided by 2 to adjust the height. 60 / 2 = 30. Plotting 60 would distort the area. 6 and 3 divide by the wrong base (width 10 and 20 respectively).
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