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Income and education level Each March, the Bureau of Labor Statistics compiles an Annual Demographic Supplement to its monthly Current Population Survey.44 Data on about 71,067individuals between the ages of data-custom-editor="chemistry" 25and64who were employed full-time were collected in one of these surveys. The boxplots below compare the distributions of income for people with five levels of education. This figure is a variation of the boxplot idea: because large data sets often contain very extreme observations, we omitted the individuals in each category with the top 5%and bottom 5%of incomes. Write a brief description of how the distribution of income changes with the highest level of education reached. Give specifics from the graphs to support your statements.

Short Answer

Expert verified

Shape: All distribution is right-skewed

Centre: education level is increasing and therefore, the median is increased. Spread, income and IQR are increased

Step by step solution

01

 Given information

Given graph :

02

Concept

A boxplot is a type of chart often used in explanatory data analysis.

03

Explanation

Shape: All distributions are right-skewed because the median line in the box of the box plot is farther to the bottom of the box plot and the top whiskers are longer than the bottom whiskers.

Center: As education levels rise, we see that median income (the line in the box of the boxplot) rises as well.

Spread: As education levels rise, we see an increase in the income range (distance between whiskers) and the IQR (height of the box of the boxplot).

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