Math Problem Statement

Calculate the value of the sample standard deviation for the data set: 14, 4, 6, 10, 3, 5. Round your answer to one decimal place.

Solution

The sample standard deviation for the given data set [14,4,6,10,3,5][14, 4, 6, 10, 3, 5] is approximately 4.2 (rounded to one decimal place).

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

Here are 5 related questions you might explore:

  1. What is the difference between sample and population standard deviation?
  2. How do you calculate the variance from a data set?
  3. What are other measures of central tendency apart from standard deviation?
  4. How is the standard deviation used in probability distributions?
  5. How does changing data affect the standard deviation?

Tip: The standard deviation measures how spread out the numbers in a data set are, indicating variability.

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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

Standard Deviation Theorem

Suitable Grade Level

Grades 9-12