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 of the data set is 19.3319.33 ounces, and the standard deviation is 5.165.16 ounces.

Would you like further details on how these values were calculated or have any questions?

Here are 5 related questions:

  1. How does changing a data point affect the mean and standard deviation?
  2. What is the difference between population and sample standard deviation?
  3. How does the spread of the data relate to the standard deviation?
  4. Can the standard deviation ever be negative?
  5. How would you calculate the median of this data set?

Tip: Standard deviation measures how spread out the data points are around the mean. A higher value means more variability.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Standard Deviation

Formulas

Mean = (Sum of all data points) / (Number of data points)
Standard Deviation = sqrt[(Σ(x - mean)²) / N]

Theorems

Properties of Mean and Standard Deviation

Suitable Grade Level

Grades 9-12