Question

The following it represents the highway fuel efficiency in miles per gallon of randomly selected cars from two car companies
Car company A: 35, 28, 35, 30, 31, 38, 35, 30
Car company B: 29, 33, 30 seats, 27, 34, 34, 34, 25
Which of the following statements is true
The cars from both companies, have the same mean, median, and model highway fuel efficiency
The cars from company A have a higher highway fuel efficiency than company B
The cars for company a have a higher medium highway fuel efficiency than company B
The car company B have higher model highway fuel, efficiencies, and company A

Answer 1

To determine which of the statements is true, we need to calculate the mean, median, and mode of the highway fuel efficiency for both car companies A and B.

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

1. **Mean**:
\[
\text{Mean} = \frac{35 + 28 + 35 + 30 + 31 + 38 + 35 + 30}{8} = \frac{ 35 + 28 + 35 + 30 + 31 + 38 + 35 + 30 }{8} = \frac{ 286 }{8} = 35.75
\]

2. **Median**:
- First, sort the data: 28, 30, 30, 31, 35, 35, 35, 38
- Median (average of the 4th and 5th terms):
\[
\text{Median} = \frac{31 + 35}{2} = 33
\]

3. **Mode**:
- Mode (most frequent value): 35

### Car company B:
Data: 29, 33, 30, 27, 34, 34, 34, 25

1. **Mean**:
\[
\text{Mean} = \frac{29 + 33 + 30 + 27 + 34 + 34 + 34 + 25}{8} = \frac{ 29 + 33 + 30 + 27 + 34 + 34 + 34 + 25 }{8} = \frac{ 31.25 }{8} = 30.5
\]

2. **Median**:
- First, sort the data: 25, 27, 29, 30, 33, 34, 34, 34
- Median (average of the 4th and 5th terms):
\[
\text{Median} = \frac{30 + 33}{2} = 31.5
\]

3. **Mode**:
- Mode (most frequent value): 34

### Summary of Results:
- **Car Company A**:
- Mean: 33.75
- Median: 33
- Mode: 35
- **Car Company B**:
- Mean: 30.5
- Median: 31.5
- Mode: 34

### Conclusion:
- **Mean**: Company A (33.75) > Company B (30.5)
- **Median**: Company A (33) > Company B (31.5)
- **Mode**: Company A (35), Company B (34)

### True Statements:
1. The cars from both companies do NOT have the same mean, median, and mode.
2. **The cars from company A have a higher highway fuel efficiency than company B.** (True)
3. **The cars for company A have a higher median highway fuel efficiency than company B.** (True)
4. **The car company B has higher mode highway efficiencies than company A** (False; 35 > 34)

### Correct Answers:
- The cars from company A have a higher highway fuel efficiency than company B.
- The cars for company A have a higher median highway fuel efficiency than company B.

So, the best choice would be: **The cars from company A have a higher highway fuel efficiency than company B.**