IDNLearn.com: Your one-stop destination for finding reliable answers. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.
Here are the steps in calculating the sample variance and sample standard deviation.
1. Calculate the mean of the data by adding the data first then, divide the sum by the total number of data.
[tex]6+4+3+5+4+2+4+5+4+6+1+4+5+2=55[/tex]The sum is 55. Let's divide this by 14 since there are 14 data.
[tex]55\div14=3.92857[/tex]The calculated mean is 3.92857.
2. Subtract the calculated mean from each data.
For example, 6 - 3.92857 = 2.07143.
3. Square the difference in step 2.
4. Add all the numbers in the 3rd column. The sum is 28.9286.
5. Subtract 1 from the total number of data.
[tex]14-1=13[/tex]6. Divide the sum in step 4 by 13.
[tex]28.9286\div13=2.225\approx2.23[/tex]Therefore, the sample variance of the given data is approximately 2.23.
7. Let's now solve for the sample standard deviation. To solve, get the square root of the sample variance.
[tex]\sqrt{2.225}=1.49[/tex]Hence, the sample standard deviation is 1.49.
