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  1. The data set shows the fuel efficiencies, in miles per gallon, of the vehicles featured in a car-buying guide.

26 31 40 28 19 23 35 38 43 46 28 30

AWhat is the five-number summary of the data set?
BWhat is the range of the data set? Show your work.

highest number 46 minus lowest number 19 equals 27 range

CWhat is the interquartile range (IQR) of the data set? Show your work.

Verified Answer :

texaschic101

put the numbers in order
19,23,26,28,28,30,31,35,38,40,43,46

minimum = 19
maximum = 46
Q1 =(26 + 28)/2 = 54/2 = 27
Q2 (median) = (30 + 31)/2 = 61/2 = 30.5
Q3 = (38 + 40)/2 = 78/2 = 39

range = max - min = 46 - 19 = 27

Interquartile Range (IQR) = Q3 - Q1 = 39 - 27 = 12

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