Math Problem Statement

Calculate the sample standard deviation of the data shown: [28, 13, 30, 18, 21, 24, 19].

Solution

The sample standard deviation of the given data [28,13,30,18,21,24,19][28, 13, 30, 18, 21, 24, 19] is approximately 5.93, rounded to two decimal places.

Would you like further details on how this was calculated, or do you have any other questions?

Here are 5 related questions you might find useful:

  1. How do you calculate the variance of a sample data set?
  2. What is the difference between sample and population standard deviation?
  3. How does increasing or decreasing a data point affect the standard deviation?
  4. Can standard deviation ever be negative? Why or why not?
  5. How do you interpret standard deviation in real-world problems?

Tip: Always make sure to distinguish between sample and population standard deviations, especially when dealing with real-world data!

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Standard Deviation

Formulas

Sample Standard Deviation formula: s = sqrt[(Σ(xi - x̄)^2) / (n - 1)]
Mean (x̄): x̄ = Σxi / n

Theorems

Central Limit Theorem (contextually related)

Suitable Grade Level

Grades 9-12 or introductory college-level statistics