Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Rate of Fatal Alcohol Impaired Car Crashes per 100
 Million Vehicle Miles of Travel
0.79
0.52
0.48
0.63
0.31
0.72
0.57
0.49
0.44
0.29
0.58
0.32
0.53
0.41
0.73
0.48
0.40
0.34
0.36
0.41


Let's calculate the **mean, median, and mode** of the given data.

### **Step 1: Find the Mean**  
The mean is calculated as:

\[
\text{Mean} = \frac{\sum x_i}{n}
\]

where \( \sum x_i \) is the sum of all values, and \( n \) is the number of values.

Summing the given values:

\[
0.79 + 0.52 + 0.48 + 0.63 + 0.31 + 0.72 + 0.57 + 0.49 + 0.44 + 0.29 + 0.58 + 0.32 + 0.53 + 0.41 + 0.73 + 0.48 + 0.40 + 0.34 + 0.36 + 0.41 = 9.80
\]

Number of values: \( n = 20 \)

\[
\text{Mean} = \frac{9.80}{20} = 0.49
\]

### **Step 2: Find the Median**  
The median is the middle value when the data is arranged in ascending order.

Arranging the data:

\[
0.29, 0.31, 0.32, 0.34, 0.36, 0.40, 0.41, 0.41, 0.44, 0.48, 0.48, 0.49, 0.52, 0.53, 0.57, 0.58, 0.63, 0.72, 0.73, 0.79
\]

Since there are **20 values (even number)**, the median is the average of the 10th and 11th values:

\[
\frac{0.48 + 0.48}{2} = 0.48
\]

### **Step 3: Find the Mode**  
The mode is the most frequently occurring value.  

Observing the data, **0.48** and **0.41** both appear **twice**, while all other values appear once.

Thus, the data is **bimodal**, with modes **0.48 and 0.41**.

---

### **Final Answers:**
- **Mean** = **0.49**  
- **Median** = **0.48**  
- **Mode** = **0.48 and 0.41** (bimodal)

Would you like a deeper breakdown of any step?  

Here are 5 related questions to explore further:  
1. How would the mean change if an additional value of 0.80 were added?  
2. What is the range and standard deviation of this dataset?  
3. How does the mode help in interpreting the dataset?  
4. What happens to the median if one extreme outlier (e.g., 1.50) is added?  
5. How can a histogram help visualize this data distribution?  

### **Tip:**  
When dealing with bimodal data, it's useful to analyze the dataset further to determine if it represents two different populations or trends! 🚀

Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel: 0.79, 0.52, 0.48, 0.63, 0.31, 0.72, 0.57, 0.49, 0.44, 0.29, 0.58, 0.32, 0.53, 0.41, 0.73, 0.48, 0.40, 0.34, 0.36, 0.41

Learn how to calculate the mean, median, and mode for a dataset of fatal alcohol-impaired car crashes per 100 million vehicle miles. This problem uses statistical concepts to summarize the data and is suitable for students in Grades 6-8.

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