Chapter 2, Section 3, Exercise 097 Five Number Summary for Percent Obese by Stat

Question

Chapter 2, Section 3, Exercise 097 Five Number Summary for Percent Obese by State Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the USStates dataset, is given in Figure 1 shown below. Descriptive Statistics: Obese Variable: N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Obese 50 0 24.552 0.431 3.044 17.800 22.175 24.400 26.825 30.900 Figure 1 Percent of the population that is obese by state Click here for the dataset associated with this question. (a) What is the five number summary? The five number summary is (...; ...; ...; ...;...). (b) Give the range and the IQR. The range is... . The IQR is... . (c) What can we conclude from the five number summary about the location of the 30th percentile? The 55th percentile? The location of the 30th percentile is between ... and ... . The location of the 55th percentile is between ... and ... .

Explanation / Answer

a) the five number summary is ( Minimum Q1 Median Q3 Maximum ) = ( 17.800 ; 22.175; 24.400; 26.825; 30.900)

b) Range = maximum - minimum = 30.900 - 17.800 = 13.1

IQR = Q3 - Q1 = 26.825 - 22.175 = 4.65

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