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 ounces, and the standard deviation is ounces.
Would you like further details on how these values were calculated or have any questions?
Here are 5 related questions:
- How does changing a data point affect the mean and standard deviation?
- What is the difference between population and sample standard deviation?
- How does the spread of the data relate to the standard deviation?
- Can the standard deviation ever be negative?
- 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.
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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
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