Math Problem Statement

what is the mean and standard deviation of these numbers: 3,350 3,250 3,800 3,650 3,650 3,450 3,300 3,550 3,450 3,750

Solution

The mean of the given numbers is 3520.03520.0, and the standard deviation is approximately 180.55180.55.

Would you like more details or have any questions about this calculation?

Here are 5 related questions you might explore:

  1. How does the standard deviation change if one value is an outlier?
  2. What is the variance of this dataset?
  3. How do you calculate the mean and standard deviation manually?
  4. What is the difference between population and sample standard deviation?
  5. How does changing the dataset affect the mean and standard deviation?

Tip: The standard deviation is a measure of how spread out the numbers are from the mean; a smaller standard deviation means the values are closer to the mean.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics

Formulas

Mean formula: mean = (sum of all values) / (number of values)
Standard deviation formula: σ = sqrt(Σ(x - mean)^2 / N)

Theorems

Empirical Rule in statistics (related to standard deviation)

Suitable Grade Level

Grades 9-12