Question

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

Answer 1

Firstly, arrange the data.

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

a) 5 number summary

-min value = 19
- Q1= (26+28/2) = 27
- Q2/ Median = (30+31/2)= 30.5
- Q3= (38+40/2)= 39
- Max value- 46

b) range= max value-min value
∴46-19= 21

c)interquartile range = Q3-Q1
                                  = 39-27
                                  =12