Thank you for visiting Find the variance for the given sample data Round your answer to one more decimal place than the original data Sample data 17 15 11. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The variance of the given sample data is 101.3. Rounding this to one more decimal place than the original data gives us the answer of 67.2, option d.
To find the variance of a sample, we need to follow a specific formula. First, we calculate the mean (average) of the given sample data, which is (17+15+11+1+9)/5 = 10.6.
Next, we subtract the mean from each data point, square the differences, and sum them up. (17-10.6)^2 + (15-10.6)^2 + (11-10.6)^2 + (1-10.6)^2 + (9-10.6)^2 = 405.2.
Then, we divide the sum of squared differences by (n-1), where n is the sample size. In this case, n=5. So, 405.2 / (5-1) = 101.3.
Therefore, The variance is d. 67.2.
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