Math Problem Statement

Compute the population standard deviation.

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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:

  1. How do you calculate the variance of a population?
  2. What's the difference between population and sample standard deviation?
  3. How does standard deviation help in understanding data distribution?
  4. How can we interpret a low vs. high standard deviation in practical terms?
  5. 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