Question

another measure of central tendency that is rarely used but is easy to calculate is the midrange. it can be found using the formula below. a consumer testing service obtained the mileages (in miles per gallon) shown in the table to the right in five test runs performed with three types of compact cars. each car manufacturer wants to advertise that its car performed the best in this test. which of the car manufacturers of cars a, b, and c would prefer to use the midrange statistic in their ads? explain your reasoning.
midrange = \frac{(maximum data entry)+(minimum data entry)}{2}
the manufacturer of would prefer to use the midrange, since their cars midrange of mpg is the of the three models. (type an integer or a decimal.)

Explanation:

Step1: Find max and min for Car A

Max of Car A = 36, Min of Car A = 28

Step2: Calculate mid - range for Car A

Mid - range of Car A=$\frac{36 + 28}{2}=\frac{64}{2}=32$

Step3: Find max and min for Car B

Max of Car B = 32, Min of Car B = 25

Step4: Calculate mid - range for Car B

Mid - range of Car B=$\frac{32+25}{2}=\frac{57}{2}=28.5$

Step5: Find max and min for Car C

Max of Car C = 33, Min of Car C = 24

Step6: Calculate mid - range for Car C

Mid - range of Car C=$\frac{33 + 24}{2}=\frac{57}{2}=28.5$

Answer:

The manufacturer of Car A would prefer to use the midrange, since their car's midrange of 32 mpg is the highest of the three models.