Math Problem Statement
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
Solution
Let's calculate the mean, median, and mode of the given dataLet's calculate the mean, median, and mode of the given
Data:
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
1. Mean:
The mean is the average of the numbers, calculated as:
2. Median:
The median is the middle value when the data is ordered in increasing order. If there's an even number of values, the median is the average of the two middle numbers.
3. Mode:
The mode is the value that appears most frequently in the data set.
Let me calculate these values.### Results:
- Mean: (rounded to two decimal places)
- Median:
- Mode: (appears most frequently)
Would you like more details on these calculations, or have any other questions?
Here are 5 related questions you might find useful:
- How does the mean compare to the median in this dataset?
- Can you have more than one mode in a dataset?
- What happens if all values in the dataset are different? Is there still a mode?
- Why is the median preferred in skewed data over the mean?
- How does adding an outlier affect the mean and median?
Tip: The median is often more resistant to extreme values compared to the mean, making it a good measure for skewed distributions.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Formulas
Mean = (Sum of values) / (Number of values)
Median = Middle value of an ordered dataset
Mode = Most frequently occurring value
Theorems
Central Tendency Theorem
Suitable Grade Level
Grades 8-10
Related Recommendation
Calculating Mean, Median, and Mode of Fatal Alcohol-Impaired Car Crash Rates
Calculating Mean, Median, and Mode of Car Crash Data
Mean, Median, and Mode of Fatal Alcohol Impaired Car Crashes Data
Summary Statistics for Fatal Alcohol Impaired Car Crashes Data
Calculate Mean, Median, and Mode for Blood Alcohol Concentrations