Methodology and Source of Figure 9.2

An economist analyzes the distribution of household net worth in a country by ranking all households from lowest to highest wealth and then dividing them into four quartile groups. Based on this method, which of the following statements must be true about the resulting groups?

Analyzing Wealth Distribution in a Neighborhood

When a population's wealth is divided into four quartile groups, each group contains approximately 25% of the total wealth of that population.

Creating Wealth Quartiles

A small town has 12 households with the following net worth values (in thousands of dollars): 10, 20, 25, 50, 75, 100, 150, 200, 300, 500, 1000, 5000. If these households are divided into four equal quartile groups based on their net worth, which of the following statements is the most accurate analysis of the wealth distribution?

A researcher has ranked all households in a country by their net worth, from lowest to highest. They then divided the households into four equal groups. Match each quartile group to its correct description.

Interpreting Wealth Distribution Using Quartiles

To analyze the financial standing of a population, researchers often divide it into four equal groups based on a specific financial measure. Arrange the steps below into the correct sequence for creating these four groups.

If a large dataset of households is ranked by financial value and then divided into four equal groups, the group containing the households with the highest values is referred to as the top or fourth ____ group.

A financial analyst ranks all households in a country by their annual income and divides them into four groups, with each group containing exactly 25% of the households. The analyst finds that the total income of the top group is many times larger than the total income of the bottom group. Based on this finding, the analyst claims the grouping method is invalid because the groups are not equal. Which statement best evaluates the analyst's claim?