Question

Chapter 2, Section 3, Exercise 109 Public Expenditure on Education The figure below shows the public expenditure on education as percentage of Gross Domestic Product (GDP) for all countries. 1 The mean expenditure is μ and the standard deviation of the expenditures is σ = 2%. The data are stored in EducationLiteracy 4.7% 10 12 1Data from The World Bank, the most recent data available for each country as of July 2015 obtained from knoema.com (a) The United States spends 5.2% of its GDP on education. Without doing any calculations yet, will the z-score for the US be positive, negative, or zero? Negative PositiveNegative C Positive Zero SHOW HINT LINK TO TEXT Enter the exact answers. (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 its GDP on education and Cuba spends 12.8% Equatorial Guinea spends the lowest percentage on education at only 0.8%. Calculate the range. Range (d) The five number summary for this data set is (0.8,3.2,4.6,5.6, 13). Calculate the IQR. IQR Click if you would like to Show Work for this question: Open Show Work

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Answer #1

a) positive as value is greater then the mean

b)z score =(5.2-4.7)/2=0.25

c)

range =maximum -minimum=13-0.8=12.2

d)

IQR =Q3-Q1=5.6-3.2=2.4

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