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, 34, 25
Which of the following statements is true?
*Remember to put each set of numbers in order from LEAST to GREATEST before starting the problem.
(1 point)
The cars from Company A have higher MEDIAN highway fuel efficiency than Company B.
The cars from Company A have higher MEAN highway fuel efficiency than Company B.
The cars from Company B have a higher MODE of highway fuel efficiency than Company A.
The cars from both companies have the same mean, median, and mode for highway fuel efficiency.
In order from least to greatest:
Company A: 28, 30, 30, 31, 35, 35, 35, 38
Company B: 25, 27, 29, 33, 34, 34, 34, 36
- Median:
Company A: 32.5
Company B: 33.5
Since 33.5 is higher than 32.5, the statement "The cars from Company A have higher MEDIAN highway fuel efficiency than Company B" is false.
- Mean:
Company A: (28 + 30 + 30 + 31 + 35 + 35 + 35 + 38) / 8 = 32.875
Company B: (25 + 27 + 29 + 33 + 34 + 34 + 34 + 36) / 8 = 31.625
Since 32.875 is higher than 31.625, the statement "The cars from Company A have higher MEAN highway fuel efficiency than Company B" is true.
- Mode:
Company A has multiple modes (35), while Company B also has a mode of 34.
Therefore, the statement "The cars from Company B have a higher MODE of highway fuel efficiency than Company A" is false.
In conclusion, the statement "The cars from Company A have higher MEAN highway fuel efficiency than Company B" is true.