s//edugen Lock, Statistics: Unlocking the Power of Data, 20 PKINIER VEASIOMBACKN

Question

s//edugen Lock, Statistics: Unlocking the Power of Data, 20 PKINIER VEASIOMBACKN Chapter 2, Section 3, Exercise 108 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 the table Descriptive Staltistics: Obese Varlable NN Mean SE Mean StD Minimum Medan Maximum Obese 50 0 28.766 0476 3369 21.300 26375 29.400 31.150 35.100 Percent of the population that is obese by state Cick bere for the dataset associated with this question (a) what is the five number summary? The five umber summary is x. b) Give te ange and the 1Q nd The range is The IQR is o 9

Explanation / Answer

(a) Here the five number summary is

Minimum - First quartile - Median - Third quartile - Maximum

21.300 - 26.375 - 29.400 - 31.150 - 35.100

(b) Range = Maximum - Minimum = 35.100 - 21.300 = 13.800

IQR = Third quartile - FIrst quartile = 31.150 - 26.175 = 4.975

(c) THe location of 15 percentile is in between 21.300 to 26.375.

The location of 70 percentile is in between 29.40 to 31.150

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