A college education is certainly a factor in determining one’s income. Researchers at payscale.com wanted to determine if there was an association between mid-career income and household income while an individual is in college. The idea was to determine if individuals from low-income households (while in college) earned a lower mid-career income than those from high-income households. Researchers surveyed 725 individuals in the middle of their careers and asked them to disclose their income class while in college and disclose their current income. The following data are based on their results.

(a) Construct a frequency marginal distribution.
(b) Construct a relative frequency marginal distribution.
(c) What proportion of households are in the 2nd quartile in mid-career?
(d) Construct a conditional distribution by household income in college.
(e) Draw a bar graph of the conditional distribution found in part (d).
(f) Write a couple of sentences explaining any relation between household income in college and mid-career income.

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Household Income in College Bottom Quartile 2nd or 3rd Quartile Top Quartile Current Mid-Career Income Bottom 2nd 3rd Top Quartile Quartile Quartile Quartile 72 62 46 40 70 32 78 47 75 52 67 84