Question

For 50 points please help

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

25 35 43 29 19 25 37 38 20 15 28 30

A. what is the five number summary of the data set?

B. What is the range of the data set? (Show your work)

C. What is the IQR of the data set? (Show your work)

Answer 1

Put the numbers in order from smallest to largest:

15, 19, 20, 25, 25, 28, 29, 30, 35, 37, 38, 43

Part A:

minimum = 15

maximum = 43

Q1 = (25+20) /2 = 45/2 =22.5

Q2= (28+29) /2 = 57/2 = 28.5

Q3 = (35+37)/2 = 72/2 = 36

Part B: Range = Maximum - minimum = 43-15 = 28

C: IQR = Q3 - Q1 = 36 - 22.5 = 13.5