Math Problem Statement

Calculate the mean and standard deviation for the data set. Round to the nearest hundredth. Weights, in ounces, of nine books: {24, 23, 19, 17, 12, 14, 14, 28, 23} what is the mean and standard deviation

Solution

The mean weight of the books is approximately 19.3319.33 ounces, and the standard deviation is approximately 5.485.48 ounces.

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. What does the standard deviation tell us about this data set?
  2. How would the mean change if the heaviest book was removed from the data set?
  3. What is the variance of the data set, and how does it relate to the standard deviation?
  4. How does the shape of the data distribution affect the standard deviation?
  5. What would happen to the standard deviation if every weight was increased by 2 ounces?

Tip: The standard deviation gives you an idea of how spread out the data is around the mean.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics

Formulas

Mean formula: Mean = (Sum of all data points) / (Number of data points)
Standard deviation formula: sqrt((Sum of (x_i - mean)^2) / N)

Theorems

Empirical rule (for interpreting standard deviation)

Suitable Grade Level

Grades 6-8