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1.3 Representing a Categorical Variable with Tables

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Frequency Tables

A frequency table organizes categorical data.

Frequency — how many fall into each group Relative frequency — frequency divided by total count

Relative Frequency=frequencytotal count\text{Relative Frequency} = \frac{\text{frequency}}{\text{total count}}

Example — Favorite Sport:

Sport Frequency Relative Frequency
Soccer 18 18/50=0.36=36%{18/50 = 0.36 = 36\%}
Basketball 14 14/50=0.28=28%{14/50 = 0.28 = 28\%}
Baseball 10 10/50=0.20=20%{10/50 = 0.20 = 20\%}
Other 8 8/50=0.16=16%{8/50 = 0.16 = 16\%}
Total 50 1.00 = 100%

In this unit

10 lessons

  1. 1.1Introducing Statistics: What Can We Learn from Data?Preview lesson
  2. 1.2The Language of Variation: VariablesPreview lesson
  3. 1.3Representing a Categorical Variable with TablesThis lesson
  4. 1.4Representing a Categorical Variable with GraphsPreview lesson
  5. 1.5Representing a Quantitative Variable with GraphsPreview lesson
  6. 1.6Describing the Distribution of a Quantitative VariablePreview lesson
  7. 1.7Summary Statistics for a Quantitative VariablePreview lesson
  8. 1.8Graphical Representations of Summary StatisticsPreview lesson
  9. 1.9Comparing Distributions of a Quantitative VariablePreview lesson
  10. 1.10The Normal DistributionPreview lesson

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