The following data set represents the highway fuel efficiency in miles per gallon in PG of randomly selected cars from two car companies so power company a is 35, 28, 35, 30, 31, 38, 35, and 30 car company B has 29, 33, 36, 27, 34, 34, 34, and 25 which of the following statements is true. Would it be the cars from company a has a higher mean high fuel, efficiency, and company be or the company B has higher model and company or the cars from a higher median, high fuel, efficiency and company B, or the cars from both companies had the same median and model high fuel efficiency

1 answer

To determine which statement is true, we need to calculate the mean, median, and mode for each company's highway fuel efficiency data.

For Company A:
Mean: (35 + 28 + 35 + 30 + 31 + 38 + 35 + 30) / 8 = 32.625
Median: The middle number when the numbers are arranged in order is the 4th and 5th numbers (31 and 35), so the median is (31 + 35) / 2 = 33
Mode: The mode is 35 as it appears most frequently.

For Company B:
Mean: (29 + 33 + 36 + 27 + 34 + 34 + 34 + 25) / 8 = 31.75
Median: The middle number when the numbers are arranged in order is the 4th number (33), so the median is 33
Mode: The mode is 34 as it appears most frequently.

So, the statement "The cars from company A have a higher mean highway fuel efficiency than company B" is true. The statement "The cars from company B have a higher mode highway fuel efficiency than company A" is also true. The statement "The cars from company A have a higher median highway fuel efficiency than company B" is false, as both companies have the same median. The statement "The cars from both companies have the same median and mode highway fuel efficiency" is false, as the modes are different.