The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, and mode. Round to one decimal place as needed.

20, 23, 25, 28, 30, 31, 34, 34

Mean =

Median =

Mode =

Let's calculate the mean, median, and mode for the given highway mileage dataLet's calculate the mean, median, and mode for the given highway mileage  

**Data:** 20, 23, 25, 28, 30, 31, 34, 34

### 1. Mean
The mean is the average of the numbers.

\[
\text{Mean} = \frac{\sum \text{values}}{\text{number of values}} = \frac{20 + 23 + 25 + 28 + 30 + 31 + 34 + 34}{8}
\]

\[
\text{Mean} = \frac{225}{8} = 28.125 \approx 28.1 \text{ mpg}
\]

### 2. Median
The median is the middle value when the numbers are arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.

Since the data is already in ascending order, the two middle numbers are the 4th and 5th values (28 and 30).

\[
\text{Median} = \frac{28 + 30}{2} = \frac{58}{2} = 29.0 \text{ mpg}
\]

### 3. Mode
The mode is the value that appears most frequently in the data set.

Here, the value **34** appears twice, while all other values appear only once.

\[
\text{Mode} = 34 \text{ mpg}
\]

### Summary:
- **Mean** = 28.1 mpg
- **Median** = 29.0 mpg
- **Mode** = 34 mpg

Would you like to dive deeper into any of these concepts or calculations?

Here are 5 related questions to expand your understanding:
1. How would the mean change if an additional car model with a mileage of 35 mpg were added?
2. What would the median be if the lowest value in the data set was removed?
3. Can a data set have more than one mode? Provide an example.
4. How does the mean compare to the median in a skewed distribution?
5. What is the impact of outliers on the mean and median?

**Tip:** Always arrange data in ascending order before finding the median, and ensure that you check for multiple modes if any value repeats more than once.

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, and mode. Round to one decimal place as needed. 20, 23, 25, 28, 30, 31, 34, 34

Learn how to calculate the mean, median, and mode for a sample of 8 car models with highway mileage data. This problem covers basic statistical concepts of central tendency. Suitable for students in Grades 6-8.

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