Math Problem Statement
If a sample has a standard deviation 2 then the sample variances
Solution
The sample variance is the square of the standard deviation. So, if the standard deviation of a sample is 2, the sample variance can be calculated as follows:
Thus, the sample variance is 4.
Would you like further details on this concept or have any other questions?
Here are five related questions to consider:
- What is the difference between sample variance and population variance?
- How is the standard deviation affected by adding a constant to all data points?
- How do you calculate the sample variance from raw data?
- What role does variance play in the analysis of data distributions?
- How does the sample size affect the variance?
Tip: Variance measures the spread of data points around the mean, and it is always non-negative because it involves squaring the deviations.
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Variance
Formulas
Sample Variance = (Standard Deviation)^2
Theorems
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Suitable Grade Level
Grades 9-12