Math Problem Statement
what is the mean and standard deviation of these numbers: 3,350 3,250 3,800 3,650 3,650 3,450 3,300 3,550 3,450 3,750
Solution
The mean of the given numbers is , and the standard deviation is approximately .
Would you like more details or have any questions about this calculation?
Here are 5 related questions you might explore:
- How does the standard deviation change if one value is an outlier?
- What is the variance of this dataset?
- How do you calculate the mean and standard deviation manually?
- What is the difference between population and sample standard deviation?
- How does changing the dataset affect the mean and standard deviation?
Tip: The standard deviation is a measure of how spread out the numbers are from the mean; a smaller standard deviation means the values are closer to the mean.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Formulas
Mean formula: mean = (sum of all values) / (number of values)
Standard deviation formula: σ = sqrt(Σ(x - mean)^2 / N)
Theorems
Empirical Rule in statistics (related to standard deviation)
Suitable Grade Level
Grades 9-12
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