Question

The following table shows a sample of the amount spent for lunch by 8 students. Note that this is ungrouped data. It is the same data used in the Module 4 Canvas Practice Assignment, so you can save time by referring to your answers to that assignment. The extra columns are to help you organize your work. You do not necessarily need to fill in every column. Provide your own headers for the columns. Use two decimal places in your answers. Filling in this table is optional. It is only provided for you to use as a worksheet if you want. i Lunch Spending ($) = xi z-scores 1 28 2 10 3 1 4 15 5 8 6 6 7 10 8 6 1. What is the range for this sample? 2. Calculate the sample variance. 3. Write down the symbol used to represent the sample variance and upload your file to Canvas. 4. Calculate the sample standard deviation. 5. Write down the symbol used to represent the sample standard deviation and upload your file to Canvas. 6. Calculate the Coefficient of Variation for this sample. Remember to express it as a percentage. Calculate the z-scores (to two decimal places) for each observation. 7. z1 = 8. z2 = 9. z3 = 10. z4 = 11. z5 = 12. z6= 13. z7 = 14. z8 =

Answer 1

Let 'ebe the random vanable of the for lunch by amount of time spent the students. The data is ge 10, 1, 15, 8, 6, 10 6 Range :- Largest Observation = 28. Smallest Observation=1 Range 3d-s = 28-1=27. Range=27] Sample variance = {(t2-a) ; 2=f4 =10-5 © n-1 S. No x G 7) 17.5 -0.5 -9.5 4.5 (-a) ² 1 306.25 0.25 20-25 20.25 3 h 3- dm cerco -b do cool 6-25 -215 -4.5 20-25 0-25 -05 -4.5 16 hotell. Sri = 841 20.25 464

561-2)2 Sample variances 464 = 66-2857 Sample variance - 66-2857 to represent the sample variance 3) C @ The symbé used is p² Sample standard deviakiên = =166-2857 = 8-1416. Sample standard deviation = 801446 6 I ② sample standard deualien cis represented by the symbol 3. Coefficient of variation of x 100 8-1416 -X100 10.5 = 77.5478 Coefficient of variedion = 48%