Math Problem Statement
Question content area top Part 1 A random sample of 10 subjects have weights with a standard deviation of 11.919711.9197 kg. What is the variance of their weights? Be sure to include the appropriate units with the result. Question content area bottom Part 1 The variance of the sample data is enter your response here kg squared .kg2. (Round to four decimal places as needed.)
Solution
The formula to calculate the variance of a sample is:
Given that the standard deviation is 11.9197 kg, we can calculate the variance by squaring the standard deviation.
Thus, the variance of their weights is:
(Rounded to four decimal places as needed.)
Would you like more details or have any questions?
Here are some related questions:
- What is the relationship between variance and standard deviation?
- How do you calculate the sample variance for larger data sets?
- Why is the unit of variance the square of the unit of the data (e.g., kg²)?
- How is the variance of a population different from the variance of a sample?
- What is the significance of rounding in statistical calculations?
Tip: Always double-check the rounding rules and ensure that you maintain the correct number of decimal places as requested.
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Math Problem Analysis
Mathematical Concepts
Statistics
Variance
Standard Deviation
Formulas
Variance = (Standard Deviation)^2
Theorems
The square of the standard deviation gives the variance of the sample.
Suitable Grade Level
Grades 10-12
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