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GRE
GRE Quantitative Reasoning Section

Comparison of Proportions in Income Data

Very Hard Data Analysis Descriptive Statistics

A researcher is analyzing a dataset consisting of annual incomes (in thousands of dollars) for a sample of 50 individuals. The following summary statistics were recorded:

Mean: 75
Median: 70
Mode: 60
Standard Deviation: 20

Based on this information, consider the following quantities:

Quantity A: The proportion of individuals who earn more than the mean income.
Quantity B: The proportion of individuals who earn less than the mode income.

Determine the relationship between Quantity A and Quantity B.

Hint

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