Math Problem Statement

determine sample standard deviation weight. 0.87 0.91 0.89 0.83 0.91 0.88 0.90 0.88 0.88 0.94 0.91 0.95 0.91 0.88 0.88 0.92 0.82 0.86 0.86 0.87 0.86 0.89 0.84 0.85 0.90 0.86 0.87 0.93 0.89 0.79 0.93 0.84 0.90 0.86 0.93 0.91 0.87 0.82 0.84 0.84 0.88 0.88 0.85 0.83 0.90 0.86 0.84 0.87

Solution

The sample standard deviation of the given weights is approximately 0.03470.0347.

Would you like any further details or explanations?

Here are five related questions:

  1. How is the sample standard deviation different from the population standard deviation?
  2. How do outliers affect the standard deviation of a dataset?
  3. What does a small standard deviation indicate about a dataset?
  4. Can you calculate the variance from the standard deviation? How?
  5. How does the mean compare to the median in this dataset?

Tip: Always use the sample standard deviation when working with a sample from a larger population, as it accounts for the variability within the sample size.

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Sample Standard Deviation

Formulas

Sample standard deviation formula: s = sqrt((Σ(xi - x̄)²) / (n - 1))

Theorems

Central Limit Theorem (in context of sampling)
Law of Large Numbers

Suitable Grade Level

Grades 10-12

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