the following data set represents the highway fuel of fluency in miles per gallon MPG of randomly selecting 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
what statement is true?
*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.
First, let's put each set of numbers in order from least to greatest:
Car Company A: 28, 30, 30, 31, 35, 35, 35, 38
Car Company B: 25, 27, 29, 33, 34, 34, 34, 36
A. The cars from Company A have a higher MEDIAN highway fuel efficiency than Company B.
- Median for Company A = (31 + 35) / 2 = 33
- Median for Company B = (29 + 33) / 2 = 31
- The median for Company A is higher, so this statement is TRUE.
B. The cars from Company A have higher MEAN highway fuel efficiency than Company B.
- Mean for Company A = (28 + 30 + 30 + 31 + 35 + 35 + 35 + 38) / 8 = 32.125
- Mean for Company B = (25 + 27 + 29 + 33 + 34 + 34 + 34 + 36) / 8 = 31.875
- The mean for Company A is higher, so this statement is TRUE.
C. The cars from Company B have a higher MODE of highway fuel efficiency than Company A.
- Mode for Company A = 35
- Mode for Company B = 34
- The mode for Company A is higher, so this statement is FALSE.
D. The cars from both companies have the same mean, median, and mode for highway fuel efficiency.
- This statement is FALSE based on the calculations above.
Therefore, statements A and B are true, while statements C and D are false.