Math Problem Statement
Solution
The image provides a list of ten U.S. cities and their corresponding violent crime numbers for 2010. The task is to calculate the mean, median, mode, and midrange of these numbers. The data is as follows:
- Temecula, CA: 74
- Murrieta, CA: 99
- Surprise, AZ: 106
- Round Rock, TX: 116
- Frisco, TX: 119
- Irvine, CA: 120
- Cary, NC: 120
- Amherst, NY: 121
- Simi Valley, CA: 129
- Norman, OK: 132
Let's now calculate the required statistics for this dataset.Here are the calculated values for the violent crime dataHere are the calculated values for the violent crime
- Mean: 113.6
- Median: 119.5
- Mode: 120
- Midrange: 103.0
Would you like further details or explanations about any of these calculations?
Here are five additional questions that could expand on this topic:
- How would these statistics change if we added more cities to the dataset?
- What does the midrange tell us about the spread of the data compared to the mean and median?
- How do outliers affect the mean and median in a dataset like this?
- Can we calculate the standard deviation and variance for this data?
- How could this data be represented visually to make trends clearer?
Tip: The mode is particularly useful in datasets with repeating numbers, as it shows the most frequent value.
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Mean
Median
Mode
Midrange
Formulas
Mean = (Sum of all values) / (Number of values)
Median = Middle value when data is ordered
Mode = Most frequent value
Midrange = (Max value + Min value) / 2
Theorems
Basic Statistical Measures
Suitable Grade Level
Grades 9-12
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