Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Use the following sample Epworth Sleepiness Scores for the problems below;6, 4, 3, 5, 4, 2, 4, 5, 4, 6, 1, 4, 5, 2Sample variance=Sample Standard Deviation=Round to the hundredths place.

Sagot :

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.

View image LillionnaD100678
View image LillionnaD100678
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.