Math Problem Statement
Solution
Using the provided data, here are the statistical values:
- Number of data values: 13
- Mean: 11.97
- Median: 14.3
- Range: 15.5
- Standard deviation: 5.53 (rounded to two decimal places)
Would you like more details on any of these calculations, or help with another question?
Here are 5 related questions for deeper exploration:
- How would the mean change if an additional value of 20 were added to the data set?
- What does the standard deviation tell us about the spread of this data?
- Can you calculate the variance based on the given standard deviation?
- How would you identify outliers using the interquartile range (IQR)?
- How does the range compare to the standard deviation for understanding data variability?
Tip: The mean is sensitive to extreme values, while the median is more resistant to outliers. This makes the median a better measure for skewed distributions.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Range
Standard Deviation
Formulas
Mean: sum of all values / number of values
Median: middle value when data is sorted
Range: largest value - smallest value
Standard deviation: sqrt(sum of squared differences from the mean / number of values)
Theorems
Basic statistics formulas for data analysis
Suitable Grade Level
Grades 8-10
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