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Which of these groups of relative frequencies would be best represented by a pie chart?

A. 60%; 27%; 12%; 1%
B.33%; 34%; 33%
C.19%; 19%; 21%; 21%; 20%
D.51%; 49%

1 answer

A pie chart is best used to represent relative frequencies when you want to show the proportions of a whole. The ideal proportions for a pie chart typically consist of a limited number of categories, especially when they add up to 100%.

Based on the options you provided:

  • A (60%; 27%; 12%; 1%): This has many categories but is still manageable and the proportions vary quite a bit, which could be represented well in a pie chart.
  • B (33%; 34%; 33%): This has three roughly equal categories, which would also work well in a pie chart.
  • C (19%; 19%; 21%; 21%; 20%): This has many equal categories that are very similar, making a pie chart less effective for visual distinction among categories.
  • D (51%; 49%): This has only two categories, making it especially well suited for a pie chart that would clearly show the almost equal distribution.

Considering all options, D (51%; 49%) would be the best choice for representation by a pie chart, as it clearly shows the comparison between the two categories in a visually striking manner.