The following data set represents the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies

Car company A: 35,28,35,30,31,38,35,30

Car company B: 29, 33, 36, 27, 34, 34, 25,

*Remember to put each set of numbers in order from LEAST to GREATEST before starting the problem.

A). The cars from Company A have higher MEDIAN highway fuel efficiency than Company B.

B). The cars from Company A have higher MEAN highway fuel efficiency than Company B.

C). The cars from Company B have a higher MODE of highway fuel efficiency than Company A.

D). The cars from both companies have the same mean, median, and mode for highway fuel efficiency.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

First, let's order the data sets:

Car company A: 28, 30, 30, 31, 35, 35, 35, 38
Car company B: 25, 27, 29, 33, 34, 34, 36

A). To find the median, we need to find the middle value of the ordered data sets.
For Company A:
(31 + 35) / 2 = 33

For Company B:
(29 + 33) / 2 = 31

Since 33 > 31, the cars from Company A have a higher median highway fuel efficiency.

B). To find the mean, we sum all the values and divide by the number of values.
For Company A:
(28 + 30 + 30 + 31 + 35 + 35 + 35 + 38) / 8 = 32.5

For Company B:
(25 + 27 + 29 + 33 + 34 + 34 + 36) / 7 = 30.57

Since 32.5 > 30.57, the cars from Company A have a higher mean highway fuel efficiency.

C). The mode is the value that appears most frequently in the data set.
For Company A, the mode is 35.
For Company B, the mode is 34.

Since 34 > 35, the cars from Company B have a higher mode of highway fuel efficiency.

D). The cars from both companies do not have the same mean, median, and mode for highway fuel efficiency based on the calculations above.