Problem 64EC
Midrange Another measure of central tendency that is rarely used but is easy to calculate is the midrange. It can be found by using the formula
Which of the manufacturers In Exercise 63 would prefer to use the midrange statistic in their ads? Explain your reasoning.
Exercise 63
Data Analysis A consumer testing service obtained the mileages (in miles per gallon) shown in the table at the left in five test runs performed with three types of compact cars.
(a) The manufacturer of Car A wants to advertise that its car performed best in this test. Which measure of central tendencymean, median, or mode—should be used for its claim? Explain your reasoning.
(b) The manufacturer of Car B wants to advertise that its car performed best in this test. Which measure of central tendency—mean, median, or mode—should be used for its claim? Explain your reasoning.
(c) The manufacturer of Car C wants to advertise that its car performed best in this test. Which measure of central tendency—mean, median, or mode—should be used for its claim? Explain your reasoning.
Car 

A 
B 
C 

Run 1 
28 
31 
29 
Run 2 
32 
29 
32 
Run 3 
28 
31 
28 
Run 4 
30 
29 
32 
Run 5 
34 
31 
30 
Solution:
Step 1 of 2:
We have to find which of the manufactures in the given exercise is preferable by using the midrange.
Midrange =
Car 

A 
B 
C 

Run 1 
28 
31 
29 
Run 2 
32 
29 
32 
Run 3 
28 
31 
28 
Run 4 
30 
29 
32 
Run 5 
34 
31 
30 