Question

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. complete parts (a) through (c) below.
(a) the manufacturer of car a wants to advertise that its car performed the best in this test. which measure of central tendency - mean, median, or mode - should be used for its claim? explain. select the correct answer below and, if necessary, fill in the answer box to complete your choice.
a. the mode should be used, since car as mode of is the highest mode of the three.
b. the mean should be used, since car as mean of is the highest mean of the three. (type an integer or a decimal.)
c. the median should be used, since car as median of is the highest median of the three.
d. none of these measures of central tendency show car a to be the best.

Explanation:

Step1: Calculate mean of Car A

Mean of Car A = $\frac{30 + 35+30+31+36}{5}=\frac{162}{5}=32.4$

Step2: Calculate mean of Car B

Mean of Car B = $\frac{35 + 33+35+21+35}{5}=\frac{169}{5}=33.8$

Step3: Calculate mean of Car C

Mean of Car C = $\frac{33 + 36+20+36+34}{5}=\frac{159}{5}=31.8$

Step4: Arrange Car A data in ascending order

$30,30,31,35,36$. Median of Car A is $31$.

Step5: Arrange Car B data in ascending order

$21,33,35,35,35$. Median of Car B is $35$.

Step6: Arrange Car C data in ascending order

$20,33,34,36,36$. Median of Car C is $34$.

Step7: Find mode of Car A

Mode of Car A is $30$.

Step8: Find mode of Car B

Mode of Car B is $35$.

Step9: Find mode of Car C

Mode of Car C is $36$.

Answer:

D. None of these measures of central tendency show Car A to be the best