Math Problem Statement
A random sample of 10 subjects have weights with a standard deviation of 12.2207 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.
Solution
To find the variance, you use the formula:
Given:
- Standard Deviation = 12.2207 kg
So, the variance will be:
Now, let's calculate it.The variance of the weights is .
Would you like more details or have any other questions?
Here are 5 related questions you might find interesting:
- What is the difference between standard deviation and variance?
- How would you interpret a high variance versus a low variance in a dataset?
- What is the formula for the variance of a population as opposed to a sample?
- How would the variance change if we doubled the standard deviation?
- Can you explain why variance has squared units compared to standard deviation?
Tip: Remember that variance is always in squared units of the original data, which often makes it less intuitive than the standard deviation when interpreting data.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Variance
Standard Deviation
Formulas
Variance = (Standard Deviation)^2
Theorems
-
Suitable Grade Level
Grades 9-11
Related Recommendation
Calculate the Variance of a Sample with Standard Deviation 12.9808 kg
How to Calculate Variance from Standard Deviation with a Sample
Calculate Variance from Standard Deviation: Sample Problem
Calculating the Variance from Standard Deviation: Sample Weight Data
How to Calculate the Variance of Weights from Standard Deviation