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Part 1
Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers.
0.26   0.18   0.18   0.16   0.13   0.25   
0.29   0.25   0.14   0.16   0.11   0.16
Question content area bottom
Part 1
The mean is 
  
enter your response here. ​(Round to the nearest thousandth as​ needed.)


Let's solve for the **mean**, **median**, and **mode** of the given blood alcohol concentrations (BAC) data.

### Data: 
\( 0.26, 0.18, 0.18, 0.16, 0.13, 0.25, 0.29, 0.25, 0.14, 0.16, 0.11, 0.16 \)

### 1. **Mean**:
The mean is calculated by adding all the values together and dividing by the total number of values.

\[
\text{Mean} = \frac{0.26 + 0.18 + 0.18 + 0.16 + 0.13 + 0.25 + 0.29 + 0.25 + 0.14 + 0.16 + 0.11 + 0.16}{12}
\]

\[
\text{Sum} = 2.27
\]
\[
\text{Mean} = \frac{2.27}{12} = 0.189
\]

Thus, the **mean** is \( 0.189 \) (rounded to three decimal places).

### 2. **Median**:
To find the median, we first need to order the data from smallest to largest:

\[
0.11, 0.13, 0.14, 0.16, 0.16, 0.16, 0.18, 0.18, 0.25, 0.25, 0.26, 0.29
\]

Since there are 12 values, the median is the average of the 6th and 7th values.

\[
\text{Median} = \frac{0.16 + 0.18}{2} = 0.17
\]

Thus, the **median** is \( 0.17 \).

### 3. **Mode**:
The mode is the value that appears most frequently. In this dataset:

- \( 0.16 \) appears 3 times.

Thus, the **mode** is \( 0.16 \).

### Summary:
- **Mean** = \( 0.189 \)
- **Median** = \( 0.17 \)
- **Mode** = \( 0.16 \)

Would you like further details or clarification?

Here are 5 related questions:
1. How do outliers affect the mean in a data set like this?
2. Can there be more than one mode in a data set? If so, when?
3. What is the difference between mean, median, and mode in terms of their interpretation?
4. How would the mean change if an extreme value, such as 0.50, was added to this data set?
5. What is the significance of using median over mean in skewed data sets?

**Tip**: The **median** is more robust against outliers than the **mean**, especially when data is skewed.

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers. 0.26, 0.18, 0.18, 0.16, 0.13, 0.25, 0.29, 0.25, 0.14, 0.16, 0.11, 0.16.

Find the mean, median, and mode of blood alcohol concentrations from drivers involved in fatal crashes with jail sentences. Explore how to calculate these statistical measures with data such as 0.26, 0.18, 0.16, and more. Suitable for high school students learning data analysis.

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