Question at position 5 Which of the following is a common way of standardizing data, in this case, population?Using population totals without changing them to preserve their accuracyPopulation density of people living in an area multiplied by the size of the area. Total number of people living in an area divided by the size of the area. Total area divided by the number of people living in that area.

Question

Question at position 5 Which of the following is a common way of standardizing data, in this case, population?Using population totals without changing them to preserve their accuracyPopulation density of people living in an area multiplied by the size of the area. Total number of people living in an area divided by the size of the area. Total area divided by the number of people living in that area.

BlackTom AI · Accepted Answer

Population density is defined as the number of people per unit area, so dividing population by area standardizes population for comparison across regions.

1) Relevant knowledge points and concepts
- Standardization adjusts raw counts to account for differing sizes (e.g., area) so values are comparable.  
- Population density = population / area (units: people per km², people per mi², etc.).  
- Alternatives include raw totals (not standardized), multiplying density by area (reconstructs totals), or area per person (inverse of density).

2) Complete reasoning process step by step
- Goal: compare how crowded different places are regardless of their size.  
- The correct transformation must convert a raw count (people) into a rate per unit area. That is population divided by area.  
- Check the options by testing what each produces and whether it standardizes for area.

3) Calculations with intermediate steps (example)
- Region A: population = 1,000 people; area = 2 km². Population density = population / area = 1,000 / 2 = 500 people/km².  
- Region B: population = 2,000 people; area = 10 km². Population density = 2,000 / 10 = 200 people/km².  
- These densities (500 vs 200) allow direct comparison independent of the region sizes.

4) Why the correct answer is correct
- "Total number of people living in an area divided by the size of the area" is exactly the formula for population density, which is the standard way to standardize population by area so that differences in area are accounted for and meaningful comparisons can be made.

5) Why the other options are incorrect
- "Using population totals without changing them" fails to account for differing area sizes and therefore does not standardize.  
- "Population density ... multiplied by the size of the area" yields density × area = population (returns the raw total), so it undoes standardization.  
- "Total area divided by the number of people" gives area per person (the inverse of density). While informative in some contexts, it is not the common standard measure (population density) used to standardize population.

6) Conclusion
The correct standardized measure is population divided by area (population density). This matches the provided answer: "Total number of people living in an area divided by the size of the area."

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