the following data set represents the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from randomlt selected cars from two car companies.
Company A: 35,28,35,30,31,38,35,30
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) Responses The cars from Company A have higher MEDIAN highway fuel efficiency than Company B. 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 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 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. The cars from both companies have the same mean, median, and mode for highway fuel efficiency.
1 answer
Company A: 28, 30, 30, 31, 35, 35, 35, 38
Company B: 25, 27, 29, 33, 34, 34, 34, 36
Now let's calculate the median and mean for each data set:
For Company A:
Median: (31 + 35) / 2 = 33
Mean: (28 + 30 + 30 + 31 + 35 + 35 + 35 + 38) / 8 = 32.5
For Company B:
Median: (29 + 33) / 2 = 31
Mean: (25 + 27 + 29 + 33 + 34 + 34 + 34 + 36) / 8 = 31.625
Since the median of Company A (33) is higher than the median of Company B (31), the statement "The cars from Company A have higher MEDIAN highway fuel efficiency than Company B" is true.
Since the mean of Company A (32.5) is also higher than the mean of Company B (31.625), the statement "The cars from Company A have higher MEAN highway fuel efficiency than Company B" is true.
Therefore, both of the statements "The cars from Company A have higher MEDIAN highway fuel efficiency than Company B" and "The cars from Company A have higher MEAN highway fuel efficiency than Company B" are true.