When a data table lists categories with counts, which measure best compares category sizes?

When a data table lists categories with counts, which measure best compares category sizes?

• A. The mean
• B. The mode
• C. The median
• D. Counts or percentages, depending on context

Answer: (D)

When you’re looking at categories with counts, the goal is to see how many observations fall into each category. Because these are categories, not numbers on a numeric scale, a mean or median isn’t meaningful here. The mode only tells you which category is the most frequent, but it doesn’t show how large the other categories are or how totals compare. The clearest approach is to use the actual counts to compare sizes, and convert those counts to percentages when you need to compare groups with different totals. Counts give you the exact sizes; percentages let you compare proportions across tables or datasets. For example, if one table shows apples 60 and oranges 40, counts show apples larger; if you’re comparing another table with apples 30 and oranges 30, percentages (60% vs 40% in the first table, 50% vs 50% in the second) reveal how the relative sizes differ. So using counts or percentages, depending on the context, is the best way to compare category sizes.

When you’re looking at categories with counts, the goal is to see how many observations fall into each category. Because these are categories, not numbers on a numeric scale, a mean or median isn’t meaningful here. The mode only tells you which category is the most frequent, but it doesn’t show how large the other categories are or how totals compare.

The clearest approach is to use the actual counts to compare sizes, and convert those counts to percentages when you need to compare groups with different totals. Counts give you the exact sizes; percentages let you compare proportions across tables or datasets. For example, if one table shows apples 60 and oranges 40, counts show apples larger; if you’re comparing another table with apples 30 and oranges 30, percentages (60% vs 40% in the first table, 50% vs 50% in the second) reveal how the relative sizes differ. So using counts or percentages, depending on the context, is the best way to compare category sizes.