Math Problem Statement

calculate the standard deviation

Calculate the standard deviation

Solution

The standard deviation of the given data set [12,19,23,15,20,16,22,16,13,19][12, 19, 23, 15, 20, 16, 22, 16, 13, 19] is 3.5.

Would you like more details or have any questions?

Here are five related questions you might find interesting:

  1. How is the standard deviation interpreted in the context of data variability?
  2. What is the difference between population and sample standard deviation?
  3. How does the standard deviation relate to the mean in a normal distribution?
  4. Can you calculate the variance of the given data set?
  5. How would the standard deviation change if an outlier was added to the data?

Tip: The standard deviation provides insight into how spread out the numbers in your data set are around the mean.

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Mean
Variance

Formulas

Standard Deviation formula: σ = √(Σ(x - μ)² / N)
Mean formula: μ = Σx / N

Theorems

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Suitable Grade Level

Grades 9-12