Math Problem Statement
Compute the population standard deviation.
15 18 16 10 10 21 16 15 13
Solution
The population standard deviation of the given data is approximately 3.35.
Would you like a detailed explanation of the steps involved?
Here are five related questions to explore further:
- How do you calculate the variance of a population?
- What's the difference between population and sample standard deviation?
- How does standard deviation help in understanding data distribution?
- How can we interpret a low vs. high standard deviation in practical terms?
- Can standard deviation be used to identify outliers in a dataset?
Tip: Population standard deviation uses the total number of data points, whereas sample standard deviation divides by one less than the number of data points.
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Population Standard Deviation
Variance
Formulas
Population standard deviation formula: σ = sqrt(Σ(xi - μ)² / N)
Mean: μ = Σxi / N
Theorems
Standard Deviation Theorem
Suitable Grade Level
Grades 9-12
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