Public Expenditure on Education Figure 2.27 shows the public expenditure on education as percentage of Gross Domestic

Question:

Public Expenditure on Education Figure 2.27 shows the public expenditure on education as percentage of Gross Domestic Product (GDP) for all countries. The mean expenditure is $\mu=4.7 %$ and the standard deviation of the expenditures is $\sigma=2 %$. The data are stored in EducationLiteracy.

(a) The United States spends 5.2% of it's GDP on education. Without doing any calculations yet, will the $z$-score for the US be positive, negative, or zero? Why?

(b) Calculate the $z$-score for the US.

(c) There are two high outliers; Lesotho (a small country completely surrounded by South Africa) spends $13 %$ of it's GDP on education and Cuba spends $12.8 %$. Equatorial Guinea spends the lowest percentage on education at only $0.8 %$. Calculate the range.

(d) The five number summary for this data set is $(0.8,3.2,4.6,5.6,13)$. Calculate the IQR.

Figure 2.27:

image text in transcribed